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Finding the Fourth Proportional to 1,169.10, 1,613.70 and 672.08

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Solution

The fourth proportional to 1,169.10, 1,613.70 and 672.08 is: 927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.10 : 1,613.70 = 672.08 : x
  2. Step 2: Convert to fraction form
    1,169.10/1,613.70 = 672.08/x
  3. Step 3: Cross multiply
    1,169.10x = 1,613.70 × 672.08
  4. Step 4: Simplify right side
    1,169.10x = 1,084,527.43
  5. Step 5: Solve for x
    x = 1,084,527.43/1,169.10
  6. Step 6: Final answer
    x = 927.66

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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.