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Finding the Fourth Proportional to 1,169.47, 1,613.87 and 645.54

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Solution

The fourth proportional to 1,169.47, 1,613.87 and 645.54 is: 890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.47 : 1,613.87 = 645.54 : x
  2. Step 2: Convert to fraction form
    1,169.47/1,613.87 = 645.54/x
  3. Step 3: Cross multiply
    1,169.47x = 1,613.87 × 645.54
  4. Step 4: Simplify right side
    1,169.47x = 1,041,809.57
  5. Step 5: Solve for x
    x = 1,041,809.57/1,169.47
  6. Step 6: Final answer
    x = 890.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.