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Finding the Fourth Proportional to 985.97, 1,478.48 and 575.24

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Solution

The fourth proportional to 985.97, 1,478.48 and 575.24 is: 862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.97 : 1,478.48 = 575.24 : x
  2. Step 2: Convert to fraction form
    985.97/1,478.48 = 575.24/x
  3. Step 3: Cross multiply
    985.97x = 1,478.48 × 575.24
  4. Step 4: Simplify right side
    985.97x = 850,470.57
  5. Step 5: Solve for x
    x = 850,470.57/985.97
  6. Step 6: Final answer
    x = 862.57

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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.