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Finding the Fourth Proportional to 824.88, 1,234.86 and 565.14

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Solution

The fourth proportional to 824.88, 1,234.86 and 565.14 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.88 : 1,234.86 = 565.14 : x
  2. Step 2: Convert to fraction form
    824.88/1,234.86 = 565.14/x
  3. Step 3: Cross multiply
    824.88x = 1,234.86 × 565.14
  4. Step 4: Simplify right side
    824.88x = 697,868.78
  5. Step 5: Solve for x
    x = 697,868.78/824.88
  6. Step 6: Final answer
    x = 846.02

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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.