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Finding the Fourth Proportional to 1,150.32, 1,725.56 and 359.57

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Solution

The fourth proportional to 1,150.32, 1,725.56 and 359.57 is: 539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.32 : 1,725.56 = 359.57 : x
  2. Step 2: Convert to fraction form
    1,150.32/1,725.56 = 359.57/x
  3. Step 3: Cross multiply
    1,150.32x = 1,725.56 × 359.57
  4. Step 4: Simplify right side
    1,150.32x = 620,449.18
  5. Step 5: Solve for x
    x = 620,449.18/1,150.32
  6. Step 6: Final answer
    x = 539.37

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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.