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Finding the Fourth Proportional to 780.91, 1,077.62 and 444.78

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Solution

The fourth proportional to 780.91, 1,077.62 and 444.78 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.91 : 1,077.62 = 444.78 : x
  2. Step 2: Convert to fraction form
    780.91/1,077.62 = 444.78/x
  3. Step 3: Cross multiply
    780.91x = 1,077.62 × 444.78
  4. Step 4: Simplify right side
    780.91x = 479,301.60
  5. Step 5: Solve for x
    x = 479,301.60/780.91
  6. Step 6: Final answer
    x = 613.78

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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.