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Finding the Fourth Proportional to 1,134.68, 1,565.97 and 762.44

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Solution

The fourth proportional to 1,134.68, 1,565.97 and 762.44 is: 1,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.68 : 1,565.97 = 762.44 : x
  2. Step 2: Convert to fraction form
    1,134.68/1,565.97 = 762.44/x
  3. Step 3: Cross multiply
    1,134.68x = 1,565.97 × 762.44
  4. Step 4: Simplify right side
    1,134.68x = 1,193,950.34
  5. Step 5: Solve for x
    x = 1,193,950.34/1,134.68
  6. Step 6: Final answer
    x = 1,052.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.