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Finding the Fourth Proportional to 895.56, 1,234.12 and 698.76

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Solution

The fourth proportional to 895.56, 1,234.12 and 698.76 is: 962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.56 : 1,234.12 = 698.76 : x
  2. Step 2: Convert to fraction form
    895.56/1,234.12 = 698.76/x
  3. Step 3: Cross multiply
    895.56x = 1,234.12 × 698.76
  4. Step 4: Simplify right side
    895.56x = 862,353.69
  5. Step 5: Solve for x
    x = 862,353.69/895.56
  6. Step 6: Final answer
    x = 962.92

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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.