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Finding the Fourth Proportional to 1,232.71, 1,702.43 and 1,037.77

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Solution

The fourth proportional to 1,232.71, 1,702.43 and 1,037.77 is: 1,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.71 : 1,702.43 = 1,037.77 : x
  2. Step 2: Convert to fraction form
    1,232.71/1,702.43 = 1,037.77/x
  3. Step 3: Cross multiply
    1,232.71x = 1,702.43 × 1,037.77
  4. Step 4: Simplify right side
    1,232.71x = 1,766,730.78
  5. Step 5: Solve for x
    x = 1,766,730.78/1,232.71
  6. Step 6: Final answer
    x = 1,433.21

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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.