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Finding the Fourth Proportional to 1,032.90, 1,549.35 and 726.12

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Solution

The fourth proportional to 1,032.90, 1,549.35 and 726.12 is: 1,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.90 : 1,549.35 = 726.12 : x
  2. Step 2: Convert to fraction form
    1,032.90/1,549.35 = 726.12/x
  3. Step 3: Cross multiply
    1,032.90x = 1,549.35 × 726.12
  4. Step 4: Simplify right side
    1,032.90x = 1,125,020.42
  5. Step 5: Solve for x
    x = 1,125,020.42/1,032.90
  6. Step 6: Final answer
    x = 1,089.18

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Why These Related Problems?

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