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Finding the Fourth Proportional to 1,029.54, 1,542.24 and 473.47

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Solution

The fourth proportional to 1,029.54, 1,542.24 and 473.47 is: 709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.54 : 1,542.24 = 473.47 : x
  2. Step 2: Convert to fraction form
    1,029.54/1,542.24 = 473.47/x
  3. Step 3: Cross multiply
    1,029.54x = 1,542.24 × 473.47
  4. Step 4: Simplify right side
    1,029.54x = 730,207.67
  5. Step 5: Solve for x
    x = 730,207.67/1,029.54
  6. Step 6: Final answer
    x = 709.26

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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.