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Finding the Fourth Proportional to 759.96, 1,139.02 and 348.53

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Solution

The fourth proportional to 759.96, 1,139.02 and 348.53 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.96 : 1,139.02 = 348.53 : x
  2. Step 2: Convert to fraction form
    759.96/1,139.02 = 348.53/x
  3. Step 3: Cross multiply
    759.96x = 1,139.02 × 348.53
  4. Step 4: Simplify right side
    759.96x = 396,976.07
  5. Step 5: Solve for x
    x = 396,976.07/759.96
  6. Step 6: Final answer
    x = 522.36

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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.