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Finding the Fourth Proportional to 772.26, 1,156.71 and 446.82

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Solution

The fourth proportional to 772.26, 1,156.71 and 446.82 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,156.71 = 446.82 : x
  2. Step 2: Convert to fraction form
    772.26/1,156.71 = 446.82/x
  3. Step 3: Cross multiply
    772.26x = 1,156.71 × 446.82
  4. Step 4: Simplify right side
    772.26x = 516,841.16
  5. Step 5: Solve for x
    x = 516,841.16/772.26
  6. Step 6: Final answer
    x = 669.26

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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.