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Finding the Fourth Proportional to 895.52, 1,234.96 and 564

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Solution

The fourth proportional to 895.52, 1,234.96 and 564 is: 777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.52 : 1,234.96 = 564 : x
  2. Step 2: Convert to fraction form
    895.52/1,234.96 = 564/x
  3. Step 3: Cross multiply
    895.52x = 1,234.96 × 564
  4. Step 4: Simplify right side
    895.52x = 696,517.44
  5. Step 5: Solve for x
    x = 696,517.44/895.52
  6. Step 6: Final answer
    x = 777.78

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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.