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Finding the Fourth Proportional to 1,034.34, 1,549.73 and 725.61

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Solution

The fourth proportional to 1,034.34, 1,549.73 and 725.61 is: 1,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.34 : 1,549.73 = 725.61 : x
  2. Step 2: Convert to fraction form
    1,034.34/1,549.73 = 725.61/x
  3. Step 3: Cross multiply
    1,034.34x = 1,549.73 × 725.61
  4. Step 4: Simplify right side
    1,034.34x = 1,124,498.49
  5. Step 5: Solve for x
    x = 1,124,498.49/1,034.34
  6. Step 6: Final answer
    x = 1,087.16

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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.