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Finding the Fourth Proportional to 780.24, 1,169.46 and 292.98

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Solution

The fourth proportional to 780.24, 1,169.46 and 292.98 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,169.46 = 292.98 : x
  2. Step 2: Convert to fraction form
    780.24/1,169.46 = 292.98/x
  3. Step 3: Cross multiply
    780.24x = 1,169.46 × 292.98
  4. Step 4: Simplify right side
    780.24x = 342,628.39
  5. Step 5: Solve for x
    x = 342,628.39/780.24
  6. Step 6: Final answer
    x = 439.13

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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.