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Finding the Fourth Proportional to 773.48, 1,161.14 and 591.84

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Solution

The fourth proportional to 773.48, 1,161.14 and 591.84 is: 888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.48 : 1,161.14 = 591.84 : x
  2. Step 2: Convert to fraction form
    773.48/1,161.14 = 591.84/x
  3. Step 3: Cross multiply
    773.48x = 1,161.14 × 591.84
  4. Step 4: Simplify right side
    773.48x = 687,206.14
  5. Step 5: Solve for x
    x = 687,206.14/773.48
  6. Step 6: Final answer
    x = 888.46

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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.