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Finding the Fourth Proportional to 894.27, 1,339.77 and 546.66

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Solution

The fourth proportional to 894.27, 1,339.77 and 546.66 is: 818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.27 : 1,339.77 = 546.66 : x
  2. Step 2: Convert to fraction form
    894.27/1,339.77 = 546.66/x
  3. Step 3: Cross multiply
    894.27x = 1,339.77 × 546.66
  4. Step 4: Simplify right side
    894.27x = 732,398.67
  5. Step 5: Solve for x
    x = 732,398.67/894.27
  6. Step 6: Final answer
    x = 818.99

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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.