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Finding the Fourth Proportional to 987.39, 1,482 and 500.78

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Solution

The fourth proportional to 987.39, 1,482 and 500.78 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.39 : 1,482 = 500.78 : x
  2. Step 2: Convert to fraction form
    987.39/1,482 = 500.78/x
  3. Step 3: Cross multiply
    987.39x = 1,482 × 500.78
  4. Step 4: Simplify right side
    987.39x = 742,155.96
  5. Step 5: Solve for x
    x = 742,155.96/987.39
  6. Step 6: Final answer
    x = 751.63

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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.