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Finding the Fourth Proportional to 779.15, 1,167.38 and 596.00

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Solution

The fourth proportional to 779.15, 1,167.38 and 596.00 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.15 : 1,167.38 = 596.00 : x
  2. Step 2: Convert to fraction form
    779.15/1,167.38 = 596.00/x
  3. Step 3: Cross multiply
    779.15x = 1,167.38 × 596.00
  4. Step 4: Simplify right side
    779.15x = 695,760.65
  5. Step 5: Solve for x
    x = 695,760.65/779.15
  6. Step 6: Final answer
    x = 892.97

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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.