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Finding the Fourth Proportional to 823.68, 1,234.56 and 457.92

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Solution

The fourth proportional to 823.68, 1,234.56 and 457.92 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.68 : 1,234.56 = 457.92 : x
  2. Step 2: Convert to fraction form
    823.68/1,234.56 = 457.92/x
  3. Step 3: Cross multiply
    823.68x = 1,234.56 × 457.92
  4. Step 4: Simplify right side
    823.68x = 565,329.72
  5. Step 5: Solve for x
    x = 565,329.72/823.68
  6. Step 6: Final answer
    x = 686.35

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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.