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Finding the Fourth Proportional to 768.85, 1,061.01 and 419.54

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Solution

The fourth proportional to 768.85, 1,061.01 and 419.54 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.85 : 1,061.01 = 419.54 : x
  2. Step 2: Convert to fraction form
    768.85/1,061.01 = 419.54/x
  3. Step 3: Cross multiply
    768.85x = 1,061.01 × 419.54
  4. Step 4: Simplify right side
    768.85x = 445,130.83
  5. Step 5: Solve for x
    x = 445,130.83/768.85
  6. Step 6: Final answer
    x = 578.96

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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.