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Finding the Fourth Proportional to 1,150.52, 1,725.27 and 328.61

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Solution

The fourth proportional to 1,150.52, 1,725.27 and 328.61 is: 492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.52 : 1,725.27 = 328.61 : x
  2. Step 2: Convert to fraction form
    1,150.52/1,725.27 = 328.61/x
  3. Step 3: Cross multiply
    1,150.52x = 1,725.27 × 328.61
  4. Step 4: Simplify right side
    1,150.52x = 566,932.35
  5. Step 5: Solve for x
    x = 566,932.35/1,150.52
  6. Step 6: Final answer
    x = 492.76

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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.