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Finding the Fourth Proportional to 1,076.10, 1,613.69 and 426.38

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Solution

The fourth proportional to 1,076.10, 1,613.69 and 426.38 is: 639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.10 : 1,613.69 = 426.38 : x
  2. Step 2: Convert to fraction form
    1,076.10/1,613.69 = 426.38/x
  3. Step 3: Cross multiply
    1,076.10x = 1,613.69 × 426.38
  4. Step 4: Simplify right side
    1,076.10x = 688,036.54
  5. Step 5: Solve for x
    x = 688,036.54/1,076.10
  6. Step 6: Final answer
    x = 639.38

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