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Finding the Fourth Proportional to 1,729.16, 2,592.05 and 688.85

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Solution

The fourth proportional to 1,729.16, 2,592.05 and 688.85 is: 1,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.16 : 2,592.05 = 688.85 : x
  2. Step 2: Convert to fraction form
    1,729.16/2,592.05 = 688.85/x
  3. Step 3: Cross multiply
    1,729.16x = 2,592.05 × 688.85
  4. Step 4: Simplify right side
    1,729.16x = 1,785,517.24
  5. Step 5: Solve for x
    x = 1,785,517.24/1,729.16
  6. Step 6: Final answer
    x = 1,032.60

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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.