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Finding the Fourth Proportional to 768.86, 1,153.49 and 586.61

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Solution

The fourth proportional to 768.86, 1,153.49 and 586.61 is: 880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.86 : 1,153.49 = 586.61 : x
  2. Step 2: Convert to fraction form
    768.86/1,153.49 = 586.61/x
  3. Step 3: Cross multiply
    768.86x = 1,153.49 × 586.61
  4. Step 4: Simplify right side
    768.86x = 676,648.77
  5. Step 5: Solve for x
    x = 676,648.77/768.86
  6. Step 6: Final answer
    x = 880.07

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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.