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Finding the Fourth Proportional to 1,057.02, 1,585.14 and 472.20

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Solution

The fourth proportional to 1,057.02, 1,585.14 and 472.20 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,585.14 = 472.20 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,585.14 = 472.20/x
  3. Step 3: Cross multiply
    1,057.02x = 1,585.14 × 472.20
  4. Step 4: Simplify right side
    1,057.02x = 748,503.11
  5. Step 5: Solve for x
    x = 748,503.11/1,057.02
  6. Step 6: Final answer
    x = 708.13

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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.