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Finding the Fourth Proportional to 987.49, 1,481.76 and 402.93

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Solution

The fourth proportional to 987.49, 1,481.76 and 402.93 is: 604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.49 : 1,481.76 = 402.93 : x
  2. Step 2: Convert to fraction form
    987.49/1,481.76 = 402.93/x
  3. Step 3: Cross multiply
    987.49x = 1,481.76 × 402.93
  4. Step 4: Simplify right side
    987.49x = 597,041.39
  5. Step 5: Solve for x
    x = 597,041.39/987.49
  6. Step 6: Final answer
    x = 604.60

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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.