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Finding the Fourth Proportional to 895.56, 1,236.03 and 563.73

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Solution

The fourth proportional to 895.56, 1,236.03 and 563.73 is: 778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.56 : 1,236.03 = 563.73 : x
  2. Step 2: Convert to fraction form
    895.56/1,236.03 = 563.73/x
  3. Step 3: Cross multiply
    895.56x = 1,236.03 × 563.73
  4. Step 4: Simplify right side
    895.56x = 696,780.44
  5. Step 5: Solve for x
    x = 696,780.44/895.56
  6. Step 6: Final answer
    x = 778.04

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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.