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Finding the Fourth Proportional to 780.44, 1,169.93 and 505.71

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Solution

The fourth proportional to 780.44, 1,169.93 and 505.71 is: 758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,169.93 = 505.71 : x
  2. Step 2: Convert to fraction form
    780.44/1,169.93 = 505.71/x
  3. Step 3: Cross multiply
    780.44x = 1,169.93 × 505.71
  4. Step 4: Simplify right side
    780.44x = 591,642.77
  5. Step 5: Solve for x
    x = 591,642.77/780.44
  6. Step 6: Final answer
    x = 758.09

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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.