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Finding the Fourth Proportional to 1,147.42, 1,581.96 and 926.02

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Solution

The fourth proportional to 1,147.42, 1,581.96 and 926.02 is: 1,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.42 : 1,581.96 = 926.02 : x
  2. Step 2: Convert to fraction form
    1,147.42/1,581.96 = 926.02/x
  3. Step 3: Cross multiply
    1,147.42x = 1,581.96 × 926.02
  4. Step 4: Simplify right side
    1,147.42x = 1,464,926.60
  5. Step 5: Solve for x
    x = 1,464,926.60/1,147.42
  6. Step 6: Final answer
    x = 1,276.71

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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.