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Finding the Fourth Proportional to 1,074.56, 1,610.88 and 981.76

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Solution

The fourth proportional to 1,074.56, 1,610.88 and 981.76 is: 1,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.56 : 1,610.88 = 981.76 : x
  2. Step 2: Convert to fraction form
    1,074.56/1,610.88 = 981.76/x
  3. Step 3: Cross multiply
    1,074.56x = 1,610.88 × 981.76
  4. Step 4: Simplify right side
    1,074.56x = 1,581,497.55
  5. Step 5: Solve for x
    x = 1,581,497.55/1,074.56
  6. Step 6: Final answer
    x = 1,471.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.