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Finding the Fourth Proportional to 1,134.52, 1,565.21 and 662.33

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Solution

The fourth proportional to 1,134.52, 1,565.21 and 662.33 is: 913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.52 : 1,565.21 = 662.33 : x
  2. Step 2: Convert to fraction form
    1,134.52/1,565.21 = 662.33/x
  3. Step 3: Cross multiply
    1,134.52x = 1,565.21 × 662.33
  4. Step 4: Simplify right side
    1,134.52x = 1,036,691.11
  5. Step 5: Solve for x
    x = 1,036,691.11/1,134.52
  6. Step 6: Final answer
    x = 913.77

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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.