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Finding the Fourth Proportional to 765.95, 1,151.23 and 506.84

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Solution

The fourth proportional to 765.95, 1,151.23 and 506.84 is: 761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.95 : 1,151.23 = 506.84 : x
  2. Step 2: Convert to fraction form
    765.95/1,151.23 = 506.84/x
  3. Step 3: Cross multiply
    765.95x = 1,151.23 × 506.84
  4. Step 4: Simplify right side
    765.95x = 583,489.41
  5. Step 5: Solve for x
    x = 583,489.41/765.95
  6. Step 6: Final answer
    x = 761.79

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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.