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Finding the Fourth Proportional to 981.84, 1,472.98 and 332.54

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Solution

The fourth proportional to 981.84, 1,472.98 and 332.54 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,472.98 = 332.54 : x
  2. Step 2: Convert to fraction form
    981.84/1,472.98 = 332.54/x
  3. Step 3: Cross multiply
    981.84x = 1,472.98 × 332.54
  4. Step 4: Simplify right side
    981.84x = 489,824.77
  5. Step 5: Solve for x
    x = 489,824.77/981.84
  6. Step 6: Final answer
    x = 498.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.