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Finding the Fourth Proportional to 768.87, 1,061.04 and 419.55

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Solution

The fourth proportional to 768.87, 1,061.04 and 419.55 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,061.04 = 419.55 : x
  2. Step 2: Convert to fraction form
    768.87/1,061.04 = 419.55/x
  3. Step 3: Cross multiply
    768.87x = 1,061.04 × 419.55
  4. Step 4: Simplify right side
    768.87x = 445,162.93
  5. Step 5: Solve for x
    x = 445,162.93/768.87
  6. Step 6: Final answer
    x = 578.99

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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.