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Finding the Fourth Proportional to 768.45, 1,060.47 and 419.13

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Solution

The fourth proportional to 768.45, 1,060.47 and 419.13 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.45 : 1,060.47 = 419.13 : x
  2. Step 2: Convert to fraction form
    768.45/1,060.47 = 419.13/x
  3. Step 3: Cross multiply
    768.45x = 1,060.47 × 419.13
  4. Step 4: Simplify right side
    768.45x = 444,474.79
  5. Step 5: Solve for x
    x = 444,474.79/768.45
  6. Step 6: Final answer
    x = 578.40

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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.