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Finding the Fourth Proportional to 774.22, 1,068.48 and 511.78

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Solution

The fourth proportional to 774.22, 1,068.48 and 511.78 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.22 : 1,068.48 = 511.78 : x
  2. Step 2: Convert to fraction form
    774.22/1,068.48 = 511.78/x
  3. Step 3: Cross multiply
    774.22x = 1,068.48 × 511.78
  4. Step 4: Simplify right side
    774.22x = 546,826.69
  5. Step 5: Solve for x
    x = 546,826.69/774.22
  6. Step 6: Final answer
    x = 706.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.