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Finding the Fourth Proportional to 768.10, 1,151.24 and 442.79

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Solution

The fourth proportional to 768.10, 1,151.24 and 442.79 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,151.24 = 442.79 : x
  2. Step 2: Convert to fraction form
    768.10/1,151.24 = 442.79/x
  3. Step 3: Cross multiply
    768.10x = 1,151.24 × 442.79
  4. Step 4: Simplify right side
    768.10x = 509,758.22
  5. Step 5: Solve for x
    x = 509,758.22/768.10
  6. Step 6: Final answer
    x = 663.66

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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.