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Finding the Fourth Proportional to 759.50, 1,139.38 and 527.84

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Solution

The fourth proportional to 759.50, 1,139.38 and 527.84 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.50 : 1,139.38 = 527.84 : x
  2. Step 2: Convert to fraction form
    759.50/1,139.38 = 527.84/x
  3. Step 3: Cross multiply
    759.50x = 1,139.38 × 527.84
  4. Step 4: Simplify right side
    759.50x = 601,410.34
  5. Step 5: Solve for x
    x = 601,410.34/759.50
  6. Step 6: Final answer
    x = 791.85

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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.