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Finding the Fourth Proportional to 1,520.74, 2,281.35 and 494.50

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Solution

The fourth proportional to 1,520.74, 2,281.35 and 494.50 is: 741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.74 : 2,281.35 = 494.50 : x
  2. Step 2: Convert to fraction form
    1,520.74/2,281.35 = 494.50/x
  3. Step 3: Cross multiply
    1,520.74x = 2,281.35 × 494.50
  4. Step 4: Simplify right side
    1,520.74x = 1,128,127.58
  5. Step 5: Solve for x
    x = 1,128,127.58/1,520.74
  6. Step 6: Final answer
    x = 741.83

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Double scale
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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.