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Finding the Fourth Proportional to 778.22, 1,166.40 and 595.06

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Solution

The fourth proportional to 778.22, 1,166.40 and 595.06 is: 891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.22 : 1,166.40 = 595.06 : x
  2. Step 2: Convert to fraction form
    778.22/1,166.40 = 595.06/x
  3. Step 3: Cross multiply
    778.22x = 1,166.40 × 595.06
  4. Step 4: Simplify right side
    778.22x = 694,077.98
  5. Step 5: Solve for x
    x = 694,077.98/778.22
  6. Step 6: Final answer
    x = 891.88

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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.