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Finding the Fourth Proportional to 881.46, 1,214.64 and 658.80

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Solution

The fourth proportional to 881.46, 1,214.64 and 658.80 is: 907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.46 : 1,214.64 = 658.80 : x
  2. Step 2: Convert to fraction form
    881.46/1,214.64 = 658.80/x
  3. Step 3: Cross multiply
    881.46x = 1,214.64 × 658.80
  4. Step 4: Simplify right side
    881.46x = 800,204.83
  5. Step 5: Solve for x
    x = 800,204.83/881.46
  6. Step 6: Final answer
    x = 907.82

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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.