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Finding the Fourth Proportional to 814.08, 1,125.36 and 697.44

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Solution

The fourth proportional to 814.08, 1,125.36 and 697.44 is: 964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.08 : 1,125.36 = 697.44 : x
  2. Step 2: Convert to fraction form
    814.08/1,125.36 = 697.44/x
  3. Step 3: Cross multiply
    814.08x = 1,125.36 × 697.44
  4. Step 4: Simplify right side
    814.08x = 784,871.08
  5. Step 5: Solve for x
    x = 784,871.08/814.08
  6. Step 6: Final answer
    x = 964.12

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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.