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Finding the Fourth Proportional to 758.26, 1,137.93 and 514.18

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Solution

The fourth proportional to 758.26, 1,137.93 and 514.18 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.26 : 1,137.93 = 514.18 : x
  2. Step 2: Convert to fraction form
    758.26/1,137.93 = 514.18/x
  3. Step 3: Cross multiply
    758.26x = 1,137.93 × 514.18
  4. Step 4: Simplify right side
    758.26x = 585,100.85
  5. Step 5: Solve for x
    x = 585,100.85/758.26
  6. Step 6: Final answer
    x = 771.64

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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.