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Finding the Fourth Proportional to 758.33, 1,135.66 and 514.11

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Solution

The fourth proportional to 758.33, 1,135.66 and 514.11 is: 769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.33 : 1,135.66 = 514.11 : x
  2. Step 2: Convert to fraction form
    758.33/1,135.66 = 514.11/x
  3. Step 3: Cross multiply
    758.33x = 1,135.66 × 514.11
  4. Step 4: Simplify right side
    758.33x = 583,854.16
  5. Step 5: Solve for x
    x = 583,854.16/758.33
  6. Step 6: Final answer
    x = 769.92

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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.