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Finding the Fourth Proportional to 987.51, 1,481.15 and 824.02

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Solution

The fourth proportional to 987.51, 1,481.15 and 824.02 is: 1,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.51 : 1,481.15 = 824.02 : x
  2. Step 2: Convert to fraction form
    987.51/1,481.15 = 824.02/x
  3. Step 3: Cross multiply
    987.51x = 1,481.15 × 824.02
  4. Step 4: Simplify right side
    987.51x = 1,220,490.95
  5. Step 5: Solve for x
    x = 1,220,490.95/987.51
  6. Step 6: Final answer
    x = 1,235.93

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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.