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Finding the Fourth Proportional to 1,169.49, 1,613.90 and 645.52

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Solution

The fourth proportional to 1,169.49, 1,613.90 and 645.52 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.49 : 1,613.90 = 645.52 : x
  2. Step 2: Convert to fraction form
    1,169.49/1,613.90 = 645.52/x
  3. Step 3: Cross multiply
    1,169.49x = 1,613.90 × 645.52
  4. Step 4: Simplify right side
    1,169.49x = 1,041,804.73
  5. Step 5: Solve for x
    x = 1,041,804.73/1,169.49
  6. Step 6: Final answer
    x = 890.82

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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.