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Finding the Fourth Proportional to 1,034.97, 1,551.23 and 572.52

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Solution

The fourth proportional to 1,034.97, 1,551.23 and 572.52 is: 858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.97 : 1,551.23 = 572.52 : x
  2. Step 2: Convert to fraction form
    1,034.97/1,551.23 = 572.52/x
  3. Step 3: Cross multiply
    1,034.97x = 1,551.23 × 572.52
  4. Step 4: Simplify right side
    1,034.97x = 888,110.20
  5. Step 5: Solve for x
    x = 888,110.20/1,034.97
  6. Step 6: Final answer
    x = 858.10

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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.