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Finding the Fourth Proportional to 759.77, 1,139.66 and 272.83

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Solution

The fourth proportional to 759.77, 1,139.66 and 272.83 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.77 : 1,139.66 = 272.83 : x
  2. Step 2: Convert to fraction form
    759.77/1,139.66 = 272.83/x
  3. Step 3: Cross multiply
    759.77x = 1,139.66 × 272.83
  4. Step 4: Simplify right side
    759.77x = 310,928.62
  5. Step 5: Solve for x
    x = 310,928.62/759.77
  6. Step 6: Final answer
    x = 409.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.