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Finding the Fourth Proportional to 1,254.13, 1,730.71 and 686.98

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Solution

The fourth proportional to 1,254.13, 1,730.71 and 686.98 is: 948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.13 : 1,730.71 = 686.98 : x
  2. Step 2: Convert to fraction form
    1,254.13/1,730.71 = 686.98/x
  3. Step 3: Cross multiply
    1,254.13x = 1,730.71 × 686.98
  4. Step 4: Simplify right side
    1,254.13x = 1,188,963.16
  5. Step 5: Solve for x
    x = 1,188,963.16/1,254.13
  6. Step 6: Final answer
    x = 948.04

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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.