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Finding the Fourth Proportional to 763.98, 1,146.12 and 243.97

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Solution

The fourth proportional to 763.98, 1,146.12 and 243.97 is: 366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.98 : 1,146.12 = 243.97 : x
  2. Step 2: Convert to fraction form
    763.98/1,146.12 = 243.97/x
  3. Step 3: Cross multiply
    763.98x = 1,146.12 × 243.97
  4. Step 4: Simplify right side
    763.98x = 279,613.17
  5. Step 5: Solve for x
    x = 279,613.17/763.98
  6. Step 6: Final answer
    x = 366.00

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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.