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Finding the Fourth Proportional to 1,169.19, 1,613.52 and 645.30

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Solution

The fourth proportional to 1,169.19, 1,613.52 and 645.30 is: 890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.19 : 1,613.52 = 645.30 : x
  2. Step 2: Convert to fraction form
    1,169.19/1,613.52 = 645.30/x
  3. Step 3: Cross multiply
    1,169.19x = 1,613.52 × 645.30
  4. Step 4: Simplify right side
    1,169.19x = 1,041,204.46
  5. Step 5: Solve for x
    x = 1,041,204.46/1,169.19
  6. Step 6: Final answer
    x = 890.53

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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.