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Finding the Fourth Proportional to 768.49, 1,060.51 and 419.18

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Solution

The fourth proportional to 768.49, 1,060.51 and 419.18 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.49 : 1,060.51 = 419.18 : x
  2. Step 2: Convert to fraction form
    768.49/1,060.51 = 419.18/x
  3. Step 3: Cross multiply
    768.49x = 1,060.51 × 419.18
  4. Step 4: Simplify right side
    768.49x = 444,544.58
  5. Step 5: Solve for x
    x = 444,544.58/768.49
  6. Step 6: Final answer
    x = 578.47

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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.