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Finding the Fourth Proportional to 842.29, 1,162.53 and 527.71

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Solution

The fourth proportional to 842.29, 1,162.53 and 527.71 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.29 : 1,162.53 = 527.71 : x
  2. Step 2: Convert to fraction form
    842.29/1,162.53 = 527.71/x
  3. Step 3: Cross multiply
    842.29x = 1,162.53 × 527.71
  4. Step 4: Simplify right side
    842.29x = 613,478.71
  5. Step 5: Solve for x
    x = 613,478.71/842.29
  6. Step 6: Final answer
    x = 728.35

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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.