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Finding the Fourth Proportional to 1,128.26, 1,691.20 and 387.64

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Solution

The fourth proportional to 1,128.26, 1,691.20 and 387.64 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.26 : 1,691.20 = 387.64 : x
  2. Step 2: Convert to fraction form
    1,128.26/1,691.20 = 387.64/x
  3. Step 3: Cross multiply
    1,128.26x = 1,691.20 × 387.64
  4. Step 4: Simplify right side
    1,128.26x = 655,579.37
  5. Step 5: Solve for x
    x = 655,579.37/1,128.26
  6. Step 6: Final answer
    x = 581.05

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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.