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Finding the Fourth Proportional to 780.36, 1,076.97 and 431.05

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Solution

The fourth proportional to 780.36, 1,076.97 and 431.05 is: 594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.36 : 1,076.97 = 431.05 : x
  2. Step 2: Convert to fraction form
    780.36/1,076.97 = 431.05/x
  3. Step 3: Cross multiply
    780.36x = 1,076.97 × 431.05
  4. Step 4: Simplify right side
    780.36x = 464,227.92
  5. Step 5: Solve for x
    x = 464,227.92/780.36
  6. Step 6: Final answer
    x = 594.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.