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Finding the Fourth Proportional to 773.49, 1,161.45 and 611.89

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Solution

The fourth proportional to 773.49, 1,161.45 and 611.89 is: 918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.49 : 1,161.45 = 611.89 : x
  2. Step 2: Convert to fraction form
    773.49/1,161.45 = 611.89/x
  3. Step 3: Cross multiply
    773.49x = 1,161.45 × 611.89
  4. Step 4: Simplify right side
    773.49x = 710,679.64
  5. Step 5: Solve for x
    x = 710,679.64/773.49
  6. Step 6: Final answer
    x = 918.80

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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.