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Finding the Fourth Proportional to 825.43, 1,139.37 and 657.70

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Solution

The fourth proportional to 825.43, 1,139.37 and 657.70 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.43 : 1,139.37 = 657.70 : x
  2. Step 2: Convert to fraction form
    825.43/1,139.37 = 657.70/x
  3. Step 3: Cross multiply
    825.43x = 1,139.37 × 657.70
  4. Step 4: Simplify right side
    825.43x = 749,363.65
  5. Step 5: Solve for x
    x = 749,363.65/825.43
  6. Step 6: Final answer
    x = 907.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.