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Finding the Fourth Proportional to 891.52, 1,338.24 and 709.12

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Solution

The fourth proportional to 891.52, 1,338.24 and 709.12 is: 1,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.52 : 1,338.24 = 709.12 : x
  2. Step 2: Convert to fraction form
    891.52/1,338.24 = 709.12/x
  3. Step 3: Cross multiply
    891.52x = 1,338.24 × 709.12
  4. Step 4: Simplify right side
    891.52x = 948,972.75
  5. Step 5: Solve for x
    x = 948,972.75/891.52
  6. Step 6: Final answer
    x = 1,064.44

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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.