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Finding the Fourth Proportional to 981.90, 1,352.70 and 686.64

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Solution

The fourth proportional to 981.90, 1,352.70 and 686.64 is: 945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,352.70 = 686.64 : x
  2. Step 2: Convert to fraction form
    981.90/1,352.70 = 686.64/x
  3. Step 3: Cross multiply
    981.90x = 1,352.70 × 686.64
  4. Step 4: Simplify right side
    981.90x = 928,817.93
  5. Step 5: Solve for x
    x = 928,817.93/981.90
  6. Step 6: Final answer
    x = 945.94

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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.