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Finding the Fourth Proportional to 921.07, 1,380.99 and 596.66

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Solution

The fourth proportional to 921.07, 1,380.99 and 596.66 is: 894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.07 : 1,380.99 = 596.66 : x
  2. Step 2: Convert to fraction form
    921.07/1,380.99 = 596.66/x
  3. Step 3: Cross multiply
    921.07x = 1,380.99 × 596.66
  4. Step 4: Simplify right side
    921.07x = 823,981.49
  5. Step 5: Solve for x
    x = 823,981.49/921.07
  6. Step 6: Final answer
    x = 894.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.