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Finding the Fourth Proportional to 981.32, 1,354.10 and 718.88

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Solution

The fourth proportional to 981.32, 1,354.10 and 718.88 is: 991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.32 : 1,354.10 = 718.88 : x
  2. Step 2: Convert to fraction form
    981.32/1,354.10 = 718.88/x
  3. Step 3: Cross multiply
    981.32x = 1,354.10 × 718.88
  4. Step 4: Simplify right side
    981.32x = 973,425.04
  5. Step 5: Solve for x
    x = 973,425.04/981.32
  6. Step 6: Final answer
    x = 991.96

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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.