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Finding the Fourth Proportional to 779.53, 1,169.26 and 292.59

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Solution

The fourth proportional to 779.53, 1,169.26 and 292.59 is: 438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.53 : 1,169.26 = 292.59 : x
  2. Step 2: Convert to fraction form
    779.53/1,169.26 = 292.59/x
  3. Step 3: Cross multiply
    779.53x = 1,169.26 × 292.59
  4. Step 4: Simplify right side
    779.53x = 342,113.78
  5. Step 5: Solve for x
    x = 342,113.78/779.53
  6. Step 6: Final answer
    x = 438.87

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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.