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Finding the Fourth Proportional to 1,169.47, 1,613.76 and 645.49

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Solution

The fourth proportional to 1,169.47, 1,613.76 and 645.49 is: 890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.47 : 1,613.76 = 645.49 : x
  2. Step 2: Convert to fraction form
    1,169.47/1,613.76 = 645.49/x
  3. Step 3: Cross multiply
    1,169.47x = 1,613.76 × 645.49
  4. Step 4: Simplify right side
    1,169.47x = 1,041,665.94
  5. Step 5: Solve for x
    x = 1,041,665.94/1,169.47
  6. Step 6: Final answer
    x = 890.72

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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.