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Finding the Fourth Proportional to 987.78, 1,353.24 and 950.85

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Solution

The fourth proportional to 987.78, 1,353.24 and 950.85 is: 1,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.78 : 1,353.24 = 950.85 : x
  2. Step 2: Convert to fraction form
    987.78/1,353.24 = 950.85/x
  3. Step 3: Cross multiply
    987.78x = 1,353.24 × 950.85
  4. Step 4: Simplify right side
    987.78x = 1,286,728.25
  5. Step 5: Solve for x
    x = 1,286,728.25/987.78
  6. Step 6: Final answer
    x = 1,302.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.