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Finding the Fourth Proportional to 768.94, 1,061.16 and 419.65

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Solution

The fourth proportional to 768.94, 1,061.16 and 419.65 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.94 : 1,061.16 = 419.65 : x
  2. Step 2: Convert to fraction form
    768.94/1,061.16 = 419.65/x
  3. Step 3: Cross multiply
    768.94x = 1,061.16 × 419.65
  4. Step 4: Simplify right side
    768.94x = 445,311.57
  5. Step 5: Solve for x
    x = 445,311.57/768.94
  6. Step 6: Final answer
    x = 579.13

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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.