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Finding the Fourth Proportional to 1,042.73, 1,564.52 and 457.43

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Solution

The fourth proportional to 1,042.73, 1,564.52 and 457.43 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.73 : 1,564.52 = 457.43 : x
  2. Step 2: Convert to fraction form
    1,042.73/1,564.52 = 457.43/x
  3. Step 3: Cross multiply
    1,042.73x = 1,564.52 × 457.43
  4. Step 4: Simplify right side
    1,042.73x = 715,652.13
  5. Step 5: Solve for x
    x = 715,652.13/1,042.73
  6. Step 6: Final answer
    x = 686.33

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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.