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Finding the Fourth Proportional to 772.43, 1,159.07 and 310.08

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Solution

The fourth proportional to 772.43, 1,159.07 and 310.08 is: 465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,159.07 = 310.08 : x
  2. Step 2: Convert to fraction form
    772.43/1,159.07 = 310.08/x
  3. Step 3: Cross multiply
    772.43x = 1,159.07 × 310.08
  4. Step 4: Simplify right side
    772.43x = 359,404.43
  5. Step 5: Solve for x
    x = 359,404.43/772.43
  6. Step 6: Final answer
    x = 465.29

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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.