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Finding the Fourth Proportional to 1,169.03, 1,613.31 and 671.83

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Solution

The fourth proportional to 1,169.03, 1,613.31 and 671.83 is: 927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.03 : 1,613.31 = 671.83 : x
  2. Step 2: Convert to fraction form
    1,169.03/1,613.31 = 671.83/x
  3. Step 3: Cross multiply
    1,169.03x = 1,613.31 × 671.83
  4. Step 4: Simplify right side
    1,169.03x = 1,083,861.15
  5. Step 5: Solve for x
    x = 1,083,861.15/1,169.03
  6. Step 6: Final answer
    x = 927.15

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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.