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Finding the Fourth Proportional to 987.37, 1,481.05 and 524.86

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Solution

The fourth proportional to 987.37, 1,481.05 and 524.86 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.37 : 1,481.05 = 524.86 : x
  2. Step 2: Convert to fraction form
    987.37/1,481.05 = 524.86/x
  3. Step 3: Cross multiply
    987.37x = 1,481.05 × 524.86
  4. Step 4: Simplify right side
    987.37x = 777,340.86
  5. Step 5: Solve for x
    x = 777,340.86/987.37
  6. Step 6: Final answer
    x = 787.29

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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.