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Finding the Fourth Proportional to 772.70, 1,159.05 and 626.90

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Solution

The fourth proportional to 772.70, 1,159.05 and 626.90 is: 940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.70 : 1,159.05 = 626.90 : x
  2. Step 2: Convert to fraction form
    772.70/1,159.05 = 626.90/x
  3. Step 3: Cross multiply
    772.70x = 1,159.05 × 626.90
  4. Step 4: Simplify right side
    772.70x = 726,608.45
  5. Step 5: Solve for x
    x = 726,608.45/772.70
  6. Step 6: Final answer
    x = 940.35

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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.