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Finding the Fourth Proportional to 1,103.92, 1,522.28 and 772.24

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Solution

The fourth proportional to 1,103.92, 1,522.28 and 772.24 is: 1,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.92 : 1,522.28 = 772.24 : x
  2. Step 2: Convert to fraction form
    1,103.92/1,522.28 = 772.24/x
  3. Step 3: Cross multiply
    1,103.92x = 1,522.28 × 772.24
  4. Step 4: Simplify right side
    1,103.92x = 1,175,565.51
  5. Step 5: Solve for x
    x = 1,175,565.51/1,103.92
  6. Step 6: Final answer
    x = 1,064.90

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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.