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Finding the Fourth Proportional to 794.97, 1,096.47 and 532.53

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Solution

The fourth proportional to 794.97, 1,096.47 and 532.53 is: 734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.97 : 1,096.47 = 532.53 : x
  2. Step 2: Convert to fraction form
    794.97/1,096.47 = 532.53/x
  3. Step 3: Cross multiply
    794.97x = 1,096.47 × 532.53
  4. Step 4: Simplify right side
    794.97x = 583,903.17
  5. Step 5: Solve for x
    x = 583,903.17/794.97
  6. Step 6: Final answer
    x = 734.50

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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.