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Finding the Fourth Proportional to 1,169.59, 1,613.98 and 645.61

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Solution

The fourth proportional to 1,169.59, 1,613.98 and 645.61 is: 890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.59 : 1,613.98 = 645.61 : x
  2. Step 2: Convert to fraction form
    1,169.59/1,613.98 = 645.61/x
  3. Step 3: Cross multiply
    1,169.59x = 1,613.98 × 645.61
  4. Step 4: Simplify right side
    1,169.59x = 1,042,001.63
  5. Step 5: Solve for x
    x = 1,042,001.63/1,169.59
  6. Step 6: Final answer
    x = 890.91

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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.