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Finding the Fourth Proportional to 780.75, 1,077.36 and 444.65

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Solution

The fourth proportional to 780.75, 1,077.36 and 444.65 is: 613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,077.36 = 444.65 : x
  2. Step 2: Convert to fraction form
    780.75/1,077.36 = 444.65/x
  3. Step 3: Cross multiply
    780.75x = 1,077.36 × 444.65
  4. Step 4: Simplify right side
    780.75x = 479,042.74
  5. Step 5: Solve for x
    x = 479,042.74/780.75
  6. Step 6: Final answer
    x = 613.57

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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.