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Finding the Fourth Proportional to 822.24, 1,233.82 and 457.23

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Solution

The fourth proportional to 822.24, 1,233.82 and 457.23 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,233.82 = 457.23 : x
  2. Step 2: Convert to fraction form
    822.24/1,233.82 = 457.23/x
  3. Step 3: Cross multiply
    822.24x = 1,233.82 × 457.23
  4. Step 4: Simplify right side
    822.24x = 564,141.46
  5. Step 5: Solve for x
    x = 564,141.46/822.24
  6. Step 6: Final answer
    x = 686.10

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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.