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Finding the Fourth Proportional to 772.88, 1,156.40 and 542.22

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Solution

The fourth proportional to 772.88, 1,156.40 and 542.22 is: 811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,156.40 = 542.22 : x
  2. Step 2: Convert to fraction form
    772.88/1,156.40 = 542.22/x
  3. Step 3: Cross multiply
    772.88x = 1,156.40 × 542.22
  4. Step 4: Simplify right side
    772.88x = 627,022.97
  5. Step 5: Solve for x
    x = 627,022.97/772.88
  6. Step 6: Final answer
    x = 811.29

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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.