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Finding the Fourth Proportional to 822.47, 1,233.10 and 497.76

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Solution

The fourth proportional to 822.47, 1,233.10 and 497.76 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.47 : 1,233.10 = 497.76 : x
  2. Step 2: Convert to fraction form
    822.47/1,233.10 = 497.76/x
  3. Step 3: Cross multiply
    822.47x = 1,233.10 × 497.76
  4. Step 4: Simplify right side
    822.47x = 613,787.86
  5. Step 5: Solve for x
    x = 613,787.86/822.47
  6. Step 6: Final answer
    x = 746.27

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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.