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Finding the Fourth Proportional to 895.44, 1,234.40 and 770.56

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Solution

The fourth proportional to 895.44, 1,234.40 and 770.56 is: 1,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.44 : 1,234.40 = 770.56 : x
  2. Step 2: Convert to fraction form
    895.44/1,234.40 = 770.56/x
  3. Step 3: Cross multiply
    895.44x = 1,234.40 × 770.56
  4. Step 4: Simplify right side
    895.44x = 951,179.26
  5. Step 5: Solve for x
    x = 951,179.26/895.44
  6. Step 6: Final answer
    x = 1,062.25

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