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Finding the Fourth Proportional to 800.98, 1,195.11 and 782.48

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Solution

The fourth proportional to 800.98, 1,195.11 and 782.48 is: 1,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.98 : 1,195.11 = 782.48 : x
  2. Step 2: Convert to fraction form
    800.98/1,195.11 = 782.48/x
  3. Step 3: Cross multiply
    800.98x = 1,195.11 × 782.48
  4. Step 4: Simplify right side
    800.98x = 935,152.66
  5. Step 5: Solve for x
    x = 935,152.66/800.98
  6. Step 6: Final answer
    x = 1,167.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.