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Finding the Fourth Proportional to 989.65, 1,365.67 and 547.57

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Solution

The fourth proportional to 989.65, 1,365.67 and 547.57 is: 755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.65 : 1,365.67 = 547.57 : x
  2. Step 2: Convert to fraction form
    989.65/1,365.67 = 547.57/x
  3. Step 3: Cross multiply
    989.65x = 1,365.67 × 547.57
  4. Step 4: Simplify right side
    989.65x = 747,794.46
  5. Step 5: Solve for x
    x = 747,794.46/989.65
  6. Step 6: Final answer
    x = 755.62

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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.