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Finding the Fourth Proportional to 822.10, 1,233.97 and 498.10

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Solution

The fourth proportional to 822.10, 1,233.97 and 498.10 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,233.97 = 498.10 : x
  2. Step 2: Convert to fraction form
    822.10/1,233.97 = 498.10/x
  3. Step 3: Cross multiply
    822.10x = 1,233.97 × 498.10
  4. Step 4: Simplify right side
    822.10x = 614,640.46
  5. Step 5: Solve for x
    x = 614,640.46/822.10
  6. Step 6: Final answer
    x = 747.65

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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.