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Finding the Fourth Proportional to 780.29, 1,076.84 and 430.97

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Solution

The fourth proportional to 780.29, 1,076.84 and 430.97 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.29 : 1,076.84 = 430.97 : x
  2. Step 2: Convert to fraction form
    780.29/1,076.84 = 430.97/x
  3. Step 3: Cross multiply
    780.29x = 1,076.84 × 430.97
  4. Step 4: Simplify right side
    780.29x = 464,078.20
  5. Step 5: Solve for x
    x = 464,078.20/780.29
  6. Step 6: Final answer
    x = 594.75

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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.