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Finding the Fourth Proportional to 824.13, 1,234.51 and 550.35

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Solution

The fourth proportional to 824.13, 1,234.51 and 550.35 is: 824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,234.51 = 550.35 : x
  2. Step 2: Convert to fraction form
    824.13/1,234.51 = 550.35/x
  3. Step 3: Cross multiply
    824.13x = 1,234.51 × 550.35
  4. Step 4: Simplify right side
    824.13x = 679,411.20
  5. Step 5: Solve for x
    x = 679,411.20/824.13
  6. Step 6: Final answer
    x = 824.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.