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Finding the Fourth Proportional to 981.55, 1,471.92 and 586.63

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Solution

The fourth proportional to 981.55, 1,471.92 and 586.63 is: 879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.55 : 1,471.92 = 586.63 : x
  2. Step 2: Convert to fraction form
    981.55/1,471.92 = 586.63/x
  3. Step 3: Cross multiply
    981.55x = 1,471.92 × 586.63
  4. Step 4: Simplify right side
    981.55x = 863,472.43
  5. Step 5: Solve for x
    x = 863,472.43/981.55
  6. Step 6: Final answer
    x = 879.70

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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.