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Finding the Fourth Proportional to 989.77, 1,365.91 and 547.71

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Solution

The fourth proportional to 989.77, 1,365.91 and 547.71 is: 755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.77 : 1,365.91 = 547.71 : x
  2. Step 2: Convert to fraction form
    989.77/1,365.91 = 547.71/x
  3. Step 3: Cross multiply
    989.77x = 1,365.91 × 547.71
  4. Step 4: Simplify right side
    989.77x = 748,121.20
  5. Step 5: Solve for x
    x = 748,121.20/989.77
  6. Step 6: Final answer
    x = 755.86

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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.