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Finding the Fourth Proportional to 952.47, 1,427.14 and 586.49

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Solution

The fourth proportional to 952.47, 1,427.14 and 586.49 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.47 : 1,427.14 = 586.49 : x
  2. Step 2: Convert to fraction form
    952.47/1,427.14 = 586.49/x
  3. Step 3: Cross multiply
    952.47x = 1,427.14 × 586.49
  4. Step 4: Simplify right side
    952.47x = 836,993.27
  5. Step 5: Solve for x
    x = 836,993.27/952.47
  6. Step 6: Final answer
    x = 878.76

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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.