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Finding the Fourth Proportional to 960.71, 1,439.24 and 569.88

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Solution

The fourth proportional to 960.71, 1,439.24 and 569.88 is: 853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.71 : 1,439.24 = 569.88 : x
  2. Step 2: Convert to fraction form
    960.71/1,439.24 = 569.88/x
  3. Step 3: Cross multiply
    960.71x = 1,439.24 × 569.88
  4. Step 4: Simplify right side
    960.71x = 820,191.24
  5. Step 5: Solve for x
    x = 820,191.24/960.71
  6. Step 6: Final answer
    x = 853.74

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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.