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Finding the Fourth Proportional to 902.55, 1,244.70 and 587.49

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Solution

The fourth proportional to 902.55, 1,244.70 and 587.49 is: 810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.55 : 1,244.70 = 587.49 : x
  2. Step 2: Convert to fraction form
    902.55/1,244.70 = 587.49/x
  3. Step 3: Cross multiply
    902.55x = 1,244.70 × 587.49
  4. Step 4: Simplify right side
    902.55x = 731,248.80
  5. Step 5: Solve for x
    x = 731,248.80/902.55
  6. Step 6: Final answer
    x = 810.20

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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.