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Finding the Fourth Proportional to 761.76, 1,141.33 and 514.42

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Solution

The fourth proportional to 761.76, 1,141.33 and 514.42 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.76 : 1,141.33 = 514.42 : x
  2. Step 2: Convert to fraction form
    761.76/1,141.33 = 514.42/x
  3. Step 3: Cross multiply
    761.76x = 1,141.33 × 514.42
  4. Step 4: Simplify right side
    761.76x = 587,121.69
  5. Step 5: Solve for x
    x = 587,121.69/761.76
  6. Step 6: Final answer
    x = 770.74

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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.