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Finding the Fourth Proportional to 779.15, 1,167.24 and 663.32

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Solution

The fourth proportional to 779.15, 1,167.24 and 663.32 is: 993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.15 : 1,167.24 = 663.32 : x
  2. Step 2: Convert to fraction form
    779.15/1,167.24 = 663.32/x
  3. Step 3: Cross multiply
    779.15x = 1,167.24 × 663.32
  4. Step 4: Simplify right side
    779.15x = 774,253.64
  5. Step 5: Solve for x
    x = 774,253.64/779.15
  6. Step 6: Final answer
    x = 993.72

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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.