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Finding the Fourth Proportional to 1,076.38, 1,613.58 and 418.69

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Solution

The fourth proportional to 1,076.38, 1,613.58 and 418.69 is: 627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.38 : 1,613.58 = 418.69 : x
  2. Step 2: Convert to fraction form
    1,076.38/1,613.58 = 418.69/x
  3. Step 3: Cross multiply
    1,076.38x = 1,613.58 × 418.69
  4. Step 4: Simplify right side
    1,076.38x = 675,590.26
  5. Step 5: Solve for x
    x = 675,590.26/1,076.38
  6. Step 6: Final answer
    x = 627.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.