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Finding the Fourth Proportional to 822.24, 1,233.72 and 497.88

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Solution

The fourth proportional to 822.24, 1,233.72 and 497.88 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,233.72 = 497.88 : x
  2. Step 2: Convert to fraction form
    822.24/1,233.72 = 497.88/x
  3. Step 3: Cross multiply
    822.24x = 1,233.72 × 497.88
  4. Step 4: Simplify right side
    822.24x = 614,244.51
  5. Step 5: Solve for x
    x = 614,244.51/822.24
  6. Step 6: Final answer
    x = 747.04

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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.