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Finding the Fourth Proportional to 759.58, 1,140.38 and 513.61

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Solution

The fourth proportional to 759.58, 1,140.38 and 513.61 is: 771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,140.38 = 513.61 : x
  2. Step 2: Convert to fraction form
    759.58/1,140.38 = 513.61/x
  3. Step 3: Cross multiply
    759.58x = 1,140.38 × 513.61
  4. Step 4: Simplify right side
    759.58x = 585,710.57
  5. Step 5: Solve for x
    x = 585,710.57/759.58
  6. Step 6: Final answer
    x = 771.10

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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.