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Finding the Fourth Proportional to 779.72, 1,166.94 and 596.07

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Solution

The fourth proportional to 779.72, 1,166.94 and 596.07 is: 892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,166.94 = 596.07 : x
  2. Step 2: Convert to fraction form
    779.72/1,166.94 = 596.07/x
  3. Step 3: Cross multiply
    779.72x = 1,166.94 × 596.07
  4. Step 4: Simplify right side
    779.72x = 695,577.93
  5. Step 5: Solve for x
    x = 695,577.93/779.72
  6. Step 6: Final answer
    x = 892.09

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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.