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Finding the Fourth Proportional to 1,076.27, 1,613.86 and 345.74

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Solution

The fourth proportional to 1,076.27, 1,613.86 and 345.74 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.27 : 1,613.86 = 345.74 : x
  2. Step 2: Convert to fraction form
    1,076.27/1,613.86 = 345.74/x
  3. Step 3: Cross multiply
    1,076.27x = 1,613.86 × 345.74
  4. Step 4: Simplify right side
    1,076.27x = 557,967.02
  5. Step 5: Solve for x
    x = 557,967.02/1,076.27
  6. Step 6: Final answer
    x = 518.43

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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.