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Finding the Fourth Proportional to 1,044.54, 1,567.33 and 634.70

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Solution

The fourth proportional to 1,044.54, 1,567.33 and 634.70 is: 952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.54 : 1,567.33 = 634.70 : x
  2. Step 2: Convert to fraction form
    1,044.54/1,567.33 = 634.70/x
  3. Step 3: Cross multiply
    1,044.54x = 1,567.33 × 634.70
  4. Step 4: Simplify right side
    1,044.54x = 994,784.35
  5. Step 5: Solve for x
    x = 994,784.35/1,044.54
  6. Step 6: Final answer
    x = 952.37

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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.