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Finding the Fourth Proportional to 780.35, 1,076.87 and 431.03

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Solution

The fourth proportional to 780.35, 1,076.87 and 431.03 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,076.87 = 431.03 : x
  2. Step 2: Convert to fraction form
    780.35/1,076.87 = 431.03/x
  3. Step 3: Cross multiply
    780.35x = 1,076.87 × 431.03
  4. Step 4: Simplify right side
    780.35x = 464,167.05
  5. Step 5: Solve for x
    x = 464,167.05/780.35
  6. Step 6: Final answer
    x = 594.82

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