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Finding the Fourth Proportional to 880.91, 1,214.54 and 644.66

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Solution

The fourth proportional to 880.91, 1,214.54 and 644.66 is: 888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.91 : 1,214.54 = 644.66 : x
  2. Step 2: Convert to fraction form
    880.91/1,214.54 = 644.66/x
  3. Step 3: Cross multiply
    880.91x = 1,214.54 × 644.66
  4. Step 4: Simplify right side
    880.91x = 782,966.66
  5. Step 5: Solve for x
    x = 782,966.66/880.91
  6. Step 6: Final answer
    x = 888.82

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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.