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Finding the Fourth Proportional to 772.43, 1,158.78 and 407.33

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Solution

The fourth proportional to 772.43, 1,158.78 and 407.33 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,158.78 = 407.33 : x
  2. Step 2: Convert to fraction form
    772.43/1,158.78 = 407.33/x
  3. Step 3: Cross multiply
    772.43x = 1,158.78 × 407.33
  4. Step 4: Simplify right side
    772.43x = 472,000.06
  5. Step 5: Solve for x
    x = 472,000.06/772.43
  6. Step 6: Final answer
    x = 611.06

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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.