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Finding the Fourth Proportional to 768.30, 1,151.63 and 377.76

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Solution

The fourth proportional to 768.30, 1,151.63 and 377.76 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.30 : 1,151.63 = 377.76 : x
  2. Step 2: Convert to fraction form
    768.30/1,151.63 = 377.76/x
  3. Step 3: Cross multiply
    768.30x = 1,151.63 × 377.76
  4. Step 4: Simplify right side
    768.30x = 435,039.75
  5. Step 5: Solve for x
    x = 435,039.75/768.30
  6. Step 6: Final answer
    x = 566.24

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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.