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Finding the Fourth Proportional to 987.75, 1,363.10 and 594.90

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Solution

The fourth proportional to 987.75, 1,363.10 and 594.90 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.75 : 1,363.10 = 594.90 : x
  2. Step 2: Convert to fraction form
    987.75/1,363.10 = 594.90/x
  3. Step 3: Cross multiply
    987.75x = 1,363.10 × 594.90
  4. Step 4: Simplify right side
    987.75x = 810,905.22
  5. Step 5: Solve for x
    x = 810,905.22/987.75
  6. Step 6: Final answer
    x = 820.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.