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Finding the Fourth Proportional to 758.22, 1,135.51 and 514.01

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Solution

The fourth proportional to 758.22, 1,135.51 and 514.01 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.22 : 1,135.51 = 514.01 : x
  2. Step 2: Convert to fraction form
    758.22/1,135.51 = 514.01/x
  3. Step 3: Cross multiply
    758.22x = 1,135.51 × 514.01
  4. Step 4: Simplify right side
    758.22x = 583,663.50
  5. Step 5: Solve for x
    x = 583,663.50/758.22
  6. Step 6: Final answer
    x = 769.78

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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.