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Finding the Fourth Proportional to 843.79, 1,263.07 and 772.02

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Solution

The fourth proportional to 843.79, 1,263.07 and 772.02 is: 1,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.79 : 1,263.07 = 772.02 : x
  2. Step 2: Convert to fraction form
    843.79/1,263.07 = 772.02/x
  3. Step 3: Cross multiply
    843.79x = 1,263.07 × 772.02
  4. Step 4: Simplify right side
    843.79x = 975,115.30
  5. Step 5: Solve for x
    x = 975,115.30/843.79
  6. Step 6: Final answer
    x = 1,155.64

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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.