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Finding the Fourth Proportional to 987.27, 1,478.78 and 466.49

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Solution

The fourth proportional to 987.27, 1,478.78 and 466.49 is: 698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.27 : 1,478.78 = 466.49 : x
  2. Step 2: Convert to fraction form
    987.27/1,478.78 = 466.49/x
  3. Step 3: Cross multiply
    987.27x = 1,478.78 × 466.49
  4. Step 4: Simplify right side
    987.27x = 689,826.36
  5. Step 5: Solve for x
    x = 689,826.36/987.27
  6. Step 6: Final answer
    x = 698.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.