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Finding the Fourth Proportional to 989.35, 1,476.71 and 872.61

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Solution

The fourth proportional to 989.35, 1,476.71 and 872.61 is: 1,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.35 : 1,476.71 = 872.61 : x
  2. Step 2: Convert to fraction form
    989.35/1,476.71 = 872.61/x
  3. Step 3: Cross multiply
    989.35x = 1,476.71 × 872.61
  4. Step 4: Simplify right side
    989.35x = 1,288,602.65
  5. Step 5: Solve for x
    x = 1,288,602.65/989.35
  6. Step 6: Final answer
    x = 1,302.48

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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.