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Finding the Fourth Proportional to 894.76, 1,234.43 and 659.27

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Solution

The fourth proportional to 894.76, 1,234.43 and 659.27 is: 909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.76 : 1,234.43 = 659.27 : x
  2. Step 2: Convert to fraction form
    894.76/1,234.43 = 659.27/x
  3. Step 3: Cross multiply
    894.76x = 1,234.43 × 659.27
  4. Step 4: Simplify right side
    894.76x = 813,823.48
  5. Step 5: Solve for x
    x = 813,823.48/894.76
  6. Step 6: Final answer
    x = 909.54

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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.