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Finding the Fourth Proportional to 759.32, 1,137.84 and 515

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Solution

The fourth proportional to 759.32, 1,137.84 and 515 is: 771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.32 : 1,137.84 = 515 : x
  2. Step 2: Convert to fraction form
    759.32/1,137.84 = 515/x
  3. Step 3: Cross multiply
    759.32x = 1,137.84 × 515
  4. Step 4: Simplify right side
    759.32x = 585,987.60
  5. Step 5: Solve for x
    x = 585,987.60/759.32
  6. Step 6: Final answer
    x = 771.73

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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.