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Finding the Fourth Proportional to 895.68, 1,337.76 and 822.96

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Solution

The fourth proportional to 895.68, 1,337.76 and 822.96 is: 1,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.68 : 1,337.76 = 822.96 : x
  2. Step 2: Convert to fraction form
    895.68/1,337.76 = 822.96/x
  3. Step 3: Cross multiply
    895.68x = 1,337.76 × 822.96
  4. Step 4: Simplify right side
    895.68x = 1,100,922.97
  5. Step 5: Solve for x
    x = 1,100,922.97/895.68
  6. Step 6: Final answer
    x = 1,229.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.