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Finding the Fourth Proportional to 987.76, 1,480.65 and 641.32

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Solution

The fourth proportional to 987.76, 1,480.65 and 641.32 is: 961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.76 : 1,480.65 = 641.32 : x
  2. Step 2: Convert to fraction form
    987.76/1,480.65 = 641.32/x
  3. Step 3: Cross multiply
    987.76x = 1,480.65 × 641.32
  4. Step 4: Simplify right side
    987.76x = 949,570.46
  5. Step 5: Solve for x
    x = 949,570.46/987.76
  6. Step 6: Final answer
    x = 961.34

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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.