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Finding the Fourth Proportional to 989.24, 1,364.96 and 547.11

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Solution

The fourth proportional to 989.24, 1,364.96 and 547.11 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.24 : 1,364.96 = 547.11 : x
  2. Step 2: Convert to fraction form
    989.24/1,364.96 = 547.11/x
  3. Step 3: Cross multiply
    989.24x = 1,364.96 × 547.11
  4. Step 4: Simplify right side
    989.24x = 746,780.53
  5. Step 5: Solve for x
    x = 746,780.53/989.24
  6. Step 6: Final answer
    x = 754.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.