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Finding the Fourth Proportional to 759.84, 1,139.77 and 204.58

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Solution

The fourth proportional to 759.84, 1,139.77 and 204.58 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,139.77 = 204.58 : x
  2. Step 2: Convert to fraction form
    759.84/1,139.77 = 204.58/x
  3. Step 3: Cross multiply
    759.84x = 1,139.77 × 204.58
  4. Step 4: Simplify right side
    759.84x = 233,174.15
  5. Step 5: Solve for x
    x = 233,174.15/759.84
  6. Step 6: Final answer
    x = 306.87

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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.