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Finding the Fourth Proportional to 759.52, 1,139.46 and 348.76

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Solution

The fourth proportional to 759.52, 1,139.46 and 348.76 is: 523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.52 : 1,139.46 = 348.76 : x
  2. Step 2: Convert to fraction form
    759.52/1,139.46 = 348.76/x
  3. Step 3: Cross multiply
    759.52x = 1,139.46 × 348.76
  4. Step 4: Simplify right side
    759.52x = 397,398.07
  5. Step 5: Solve for x
    x = 397,398.07/759.52
  6. Step 6: Final answer
    x = 523.22

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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.