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Finding the Fourth Proportional to 708.88, 1,061.17 and 475.90

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Solution

The fourth proportional to 708.88, 1,061.17 and 475.90 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.88 : 1,061.17 = 475.90 : x
  2. Step 2: Convert to fraction form
    708.88/1,061.17 = 475.90/x
  3. Step 3: Cross multiply
    708.88x = 1,061.17 × 475.90
  4. Step 4: Simplify right side
    708.88x = 505,010.80
  5. Step 5: Solve for x
    x = 505,010.80/708.88
  6. Step 6: Final answer
    x = 712.41

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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.