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Finding the Fourth Proportional to 863, 1,294.76 and 498.05

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Solution

The fourth proportional to 863, 1,294.76 and 498.05 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,294.76 = 498.05 : x
  2. Step 2: Convert to fraction form
    863/1,294.76 = 498.05/x
  3. Step 3: Cross multiply
    863x = 1,294.76 × 498.05
  4. Step 4: Simplify right side
    863x = 644,855.22
  5. Step 5: Solve for x
    x = 644,855.22/863
  6. Step 6: Final answer
    x = 747.23

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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.