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Finding the Fourth Proportional to 1,034.24, 1,552.01 and 547.61

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Solution

The fourth proportional to 1,034.24, 1,552.01 and 547.61 is: 821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.24 : 1,552.01 = 547.61 : x
  2. Step 2: Convert to fraction form
    1,034.24/1,552.01 = 547.61/x
  3. Step 3: Cross multiply
    1,034.24x = 1,552.01 × 547.61
  4. Step 4: Simplify right side
    1,034.24x = 849,885.70
  5. Step 5: Solve for x
    x = 849,885.70/1,034.24
  6. Step 6: Final answer
    x = 821.75

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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.