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Finding the Fourth Proportional to 768.82, 1,060.98 and 419.50

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Solution

The fourth proportional to 768.82, 1,060.98 and 419.50 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.82 : 1,060.98 = 419.50 : x
  2. Step 2: Convert to fraction form
    768.82/1,060.98 = 419.50/x
  3. Step 3: Cross multiply
    768.82x = 1,060.98 × 419.50
  4. Step 4: Simplify right side
    768.82x = 445,081.11
  5. Step 5: Solve for x
    x = 445,081.11/768.82
  6. Step 6: Final answer
    x = 578.91

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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.