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Finding the Fourth Proportional to 1,042.52, 1,561.71 and 694.82

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Solution

The fourth proportional to 1,042.52, 1,561.71 and 694.82 is: 1,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.52 : 1,561.71 = 694.82 : x
  2. Step 2: Convert to fraction form
    1,042.52/1,561.71 = 694.82/x
  3. Step 3: Cross multiply
    1,042.52x = 1,561.71 × 694.82
  4. Step 4: Simplify right side
    1,042.52x = 1,085,107.34
  5. Step 5: Solve for x
    x = 1,085,107.34/1,042.52
  6. Step 6: Final answer
    x = 1,040.85

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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.