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Finding the Fourth Proportional to 1,240.04, 1,860.06 and 509.69

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Solution

The fourth proportional to 1,240.04, 1,860.06 and 509.69 is: 764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.04 : 1,860.06 = 509.69 : x
  2. Step 2: Convert to fraction form
    1,240.04/1,860.06 = 509.69/x
  3. Step 3: Cross multiply
    1,240.04x = 1,860.06 × 509.69
  4. Step 4: Simplify right side
    1,240.04x = 948,060.54
  5. Step 5: Solve for x
    x = 948,060.54/1,240.04
  6. Step 6: Final answer
    x = 764.54

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.