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Finding the Fourth Proportional to 981.77, 1,352.07 and 686.52

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Solution

The fourth proportional to 981.77, 1,352.07 and 686.52 is: 945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.77 : 1,352.07 = 686.52 : x
  2. Step 2: Convert to fraction form
    981.77/1,352.07 = 686.52/x
  3. Step 3: Cross multiply
    981.77x = 1,352.07 × 686.52
  4. Step 4: Simplify right side
    981.77x = 928,223.10
  5. Step 5: Solve for x
    x = 928,223.10/981.77
  6. Step 6: Final answer
    x = 945.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.