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Finding the Fourth Proportional to 1,032.24, 1,549.44 and 758.64

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Solution

The fourth proportional to 1,032.24, 1,549.44 and 758.64 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.24 : 1,549.44 = 758.64 : x
  2. Step 2: Convert to fraction form
    1,032.24/1,549.44 = 758.64/x
  3. Step 3: Cross multiply
    1,032.24x = 1,549.44 × 758.64
  4. Step 4: Simplify right side
    1,032.24x = 1,175,467.16
  5. Step 5: Solve for x
    x = 1,175,467.16/1,032.24
  6. Step 6: Final answer
    x = 1,138.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.