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Finding the Fourth Proportional to 1,316.32, 1,972.89 and 731.30

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Solution

The fourth proportional to 1,316.32, 1,972.89 and 731.30 is: 1,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.32 : 1,972.89 = 731.30 : x
  2. Step 2: Convert to fraction form
    1,316.32/1,972.89 = 731.30/x
  3. Step 3: Cross multiply
    1,316.32x = 1,972.89 × 731.30
  4. Step 4: Simplify right side
    1,316.32x = 1,442,764.59
  5. Step 5: Solve for x
    x = 1,442,764.59/1,316.32
  6. Step 6: Final answer
    x = 1,096.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.