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Finding the Fourth Proportional to 989.47, 1,476.90 and 872.74

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Solution

The fourth proportional to 989.47, 1,476.90 and 872.74 is: 1,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.47 : 1,476.90 = 872.74 : x
  2. Step 2: Convert to fraction form
    989.47/1,476.90 = 872.74/x
  3. Step 3: Cross multiply
    989.47x = 1,476.90 × 872.74
  4. Step 4: Simplify right side
    989.47x = 1,288,950.80
  5. Step 5: Solve for x
    x = 1,288,950.80/989.47
  6. Step 6: Final answer
    x = 1,302.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.