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Finding the Fourth Proportional to 780.35, 1,169.56 and 501.97

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Solution

The fourth proportional to 780.35, 1,169.56 and 501.97 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,169.56 = 501.97 : x
  2. Step 2: Convert to fraction form
    780.35/1,169.56 = 501.97/x
  3. Step 3: Cross multiply
    780.35x = 1,169.56 × 501.97
  4. Step 4: Simplify right side
    780.35x = 587,077.82
  5. Step 5: Solve for x
    x = 587,077.82/780.35
  6. Step 6: Final answer
    x = 752.32

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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.