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Finding the Fourth Proportional to 981.59, 1,472.38 and 548.64

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Solution

The fourth proportional to 981.59, 1,472.38 and 548.64 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.59 : 1,472.38 = 548.64 : x
  2. Step 2: Convert to fraction form
    981.59/1,472.38 = 548.64/x
  3. Step 3: Cross multiply
    981.59x = 1,472.38 × 548.64
  4. Step 4: Simplify right side
    981.59x = 807,805.19
  5. Step 5: Solve for x
    x = 807,805.19/981.59
  6. Step 6: Final answer
    x = 822.96

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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.