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Finding the Fourth Proportional to 772.85, 1,159.66 and 361.93

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Solution

The fourth proportional to 772.85, 1,159.66 and 361.93 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.85 : 1,159.66 = 361.93 : x
  2. Step 2: Convert to fraction form
    772.85/1,159.66 = 361.93/x
  3. Step 3: Cross multiply
    772.85x = 1,159.66 × 361.93
  4. Step 4: Simplify right side
    772.85x = 419,711.04
  5. Step 5: Solve for x
    x = 419,711.04/772.85
  6. Step 6: Final answer
    x = 543.07

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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.