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Finding the Fourth Proportional to 818.73, 1,129.31 and 524.36

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Solution

The fourth proportional to 818.73, 1,129.31 and 524.36 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.73 : 1,129.31 = 524.36 : x
  2. Step 2: Convert to fraction form
    818.73/1,129.31 = 524.36/x
  3. Step 3: Cross multiply
    818.73x = 1,129.31 × 524.36
  4. Step 4: Simplify right side
    818.73x = 592,167.16
  5. Step 5: Solve for x
    x = 592,167.16/818.73
  6. Step 6: Final answer
    x = 723.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.