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Finding the Fourth Proportional to 932.22, 1,285.81 and 637.89

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Solution

The fourth proportional to 932.22, 1,285.81 and 637.89 is: 879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.22 : 1,285.81 = 637.89 : x
  2. Step 2: Convert to fraction form
    932.22/1,285.81 = 637.89/x
  3. Step 3: Cross multiply
    932.22x = 1,285.81 × 637.89
  4. Step 4: Simplify right side
    932.22x = 820,205.34
  5. Step 5: Solve for x
    x = 820,205.34/932.22
  6. Step 6: Final answer
    x = 879.84

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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.