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Finding the Fourth Proportional to 894.74, 1,234.17 and 562.88

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Solution

The fourth proportional to 894.74, 1,234.17 and 562.88 is: 776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.74 : 1,234.17 = 562.88 : x
  2. Step 2: Convert to fraction form
    894.74/1,234.17 = 562.88/x
  3. Step 3: Cross multiply
    894.74x = 1,234.17 × 562.88
  4. Step 4: Simplify right side
    894.74x = 694,689.61
  5. Step 5: Solve for x
    x = 694,689.61/894.74
  6. Step 6: Final answer
    x = 776.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.