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Finding the Fourth Proportional to 981.98, 1,472.92 and 596.42

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Solution

The fourth proportional to 981.98, 1,472.92 and 596.42 is: 894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.98 : 1,472.92 = 596.42 : x
  2. Step 2: Convert to fraction form
    981.98/1,472.92 = 596.42/x
  3. Step 3: Cross multiply
    981.98x = 1,472.92 × 596.42
  4. Step 4: Simplify right side
    981.98x = 878,478.95
  5. Step 5: Solve for x
    x = 878,478.95/981.98
  6. Step 6: Final answer
    x = 894.60

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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.