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Finding the Fourth Proportional to 768.79, 1,153.23 and 462.61

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Solution

The fourth proportional to 768.79, 1,153.23 and 462.61 is: 693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.79 : 1,153.23 = 462.61 : x
  2. Step 2: Convert to fraction form
    768.79/1,153.23 = 462.61/x
  3. Step 3: Cross multiply
    768.79x = 1,153.23 × 462.61
  4. Step 4: Simplify right side
    768.79x = 533,495.44
  5. Step 5: Solve for x
    x = 533,495.44/768.79
  6. Step 6: Final answer
    x = 693.94

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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.