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Finding the Fourth Proportional to 759.86, 1,140.77 and 394.90

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Solution

The fourth proportional to 759.86, 1,140.77 and 394.90 is: 592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,140.77 = 394.90 : x
  2. Step 2: Convert to fraction form
    759.86/1,140.77 = 394.90/x
  3. Step 3: Cross multiply
    759.86x = 1,140.77 × 394.90
  4. Step 4: Simplify right side
    759.86x = 450,493.91
  5. Step 5: Solve for x
    x = 450,493.91/759.86
  6. Step 6: Final answer
    x = 592.86

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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.