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Finding the Fourth Proportional to 1,240.14, 1,860.21 and 470.64

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Solution

The fourth proportional to 1,240.14, 1,860.21 and 470.64 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.14 : 1,860.21 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,240.14/1,860.21 = 470.64/x
  3. Step 3: Cross multiply
    1,240.14x = 1,860.21 × 470.64
  4. Step 4: Simplify right side
    1,240.14x = 875,489.23
  5. Step 5: Solve for x
    x = 875,489.23/1,240.14
  6. Step 6: Final answer
    x = 705.96

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.