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Finding the Fourth Proportional to 812.61, 1,120.67 and 532.75

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Solution

The fourth proportional to 812.61, 1,120.67 and 532.75 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.61 : 1,120.67 = 532.75 : x
  2. Step 2: Convert to fraction form
    812.61/1,120.67 = 532.75/x
  3. Step 3: Cross multiply
    812.61x = 1,120.67 × 532.75
  4. Step 4: Simplify right side
    812.61x = 597,036.94
  5. Step 5: Solve for x
    x = 597,036.94/812.61
  6. Step 6: Final answer
    x = 734.72

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