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Finding the Fourth Proportional to 871.28, 1,307.16 and 460.76

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Solution

The fourth proportional to 871.28, 1,307.16 and 460.76 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.28 : 1,307.16 = 460.76 : x
  2. Step 2: Convert to fraction form
    871.28/1,307.16 = 460.76/x
  3. Step 3: Cross multiply
    871.28x = 1,307.16 × 460.76
  4. Step 4: Simplify right side
    871.28x = 602,287.04
  5. Step 5: Solve for x
    x = 602,287.04/871.28
  6. Step 6: Final answer
    x = 691.27

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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.