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Finding the Fourth Proportional to 987.89, 1,472.84 and 962.65

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Solution

The fourth proportional to 987.89, 1,472.84 and 962.65 is: 1,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.89 : 1,472.84 = 962.65 : x
  2. Step 2: Convert to fraction form
    987.89/1,472.84 = 962.65/x
  3. Step 3: Cross multiply
    987.89x = 1,472.84 × 962.65
  4. Step 4: Simplify right side
    987.89x = 1,417,820.93
  5. Step 5: Solve for x
    x = 1,417,820.93/987.89
  6. Step 6: Final answer
    x = 1,435.20

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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.