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Finding the Fourth Proportional to 1,134.24, 1,565.25 and 662.46

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Solution

The fourth proportional to 1,134.24, 1,565.25 and 662.46 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.24 : 1,565.25 = 662.46 : x
  2. Step 2: Convert to fraction form
    1,134.24/1,565.25 = 662.46/x
  3. Step 3: Cross multiply
    1,134.24x = 1,565.25 × 662.46
  4. Step 4: Simplify right side
    1,134.24x = 1,036,915.52
  5. Step 5: Solve for x
    x = 1,036,915.52/1,134.24
  6. Step 6: Final answer
    x = 914.19

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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.