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Finding the Fourth Proportional to 770.78, 1,153.89 and 496.05

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Solution

The fourth proportional to 770.78, 1,153.89 and 496.05 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.78 : 1,153.89 = 496.05 : x
  2. Step 2: Convert to fraction form
    770.78/1,153.89 = 496.05/x
  3. Step 3: Cross multiply
    770.78x = 1,153.89 × 496.05
  4. Step 4: Simplify right side
    770.78x = 572,387.13
  5. Step 5: Solve for x
    x = 572,387.13/770.78
  6. Step 6: Final answer
    x = 742.61

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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.