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Finding the Fourth Proportional to 734.38, 1,099.92 and 525.76

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Solution

The fourth proportional to 734.38, 1,099.92 and 525.76 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,099.92 = 525.76 : x
  2. Step 2: Convert to fraction form
    734.38/1,099.92 = 525.76/x
  3. Step 3: Cross multiply
    734.38x = 1,099.92 × 525.76
  4. Step 4: Simplify right side
    734.38x = 578,293.94
  5. Step 5: Solve for x
    x = 578,293.94/734.38
  6. Step 6: Final answer
    x = 787.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.