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Finding the Fourth Proportional to 1,155.26, 1,732.84 and 375.26

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Solution

The fourth proportional to 1,155.26, 1,732.84 and 375.26 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.26 : 1,732.84 = 375.26 : x
  2. Step 2: Convert to fraction form
    1,155.26/1,732.84 = 375.26/x
  3. Step 3: Cross multiply
    1,155.26x = 1,732.84 × 375.26
  4. Step 4: Simplify right side
    1,155.26x = 650,265.54
  5. Step 5: Solve for x
    x = 650,265.54/1,155.26
  6. Step 6: Final answer
    x = 562.87

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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.