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Finding the Fourth Proportional to 1,076.05, 1,613.96 and 345.57

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Solution

The fourth proportional to 1,076.05, 1,613.96 and 345.57 is: 518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.05 : 1,613.96 = 345.57 : x
  2. Step 2: Convert to fraction form
    1,076.05/1,613.96 = 345.57/x
  3. Step 3: Cross multiply
    1,076.05x = 1,613.96 × 345.57
  4. Step 4: Simplify right side
    1,076.05x = 557,736.16
  5. Step 5: Solve for x
    x = 557,736.16/1,076.05
  6. Step 6: Final answer
    x = 518.32

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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.