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Finding the Fourth Proportional to 880.74, 1,214.26 and 644.76

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Solution

The fourth proportional to 880.74, 1,214.26 and 644.76 is: 888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.74 : 1,214.26 = 644.76 : x
  2. Step 2: Convert to fraction form
    880.74/1,214.26 = 644.76/x
  3. Step 3: Cross multiply
    880.74x = 1,214.26 × 644.76
  4. Step 4: Simplify right side
    880.74x = 782,904.67
  5. Step 5: Solve for x
    x = 782,904.67/880.74
  6. Step 6: Final answer
    x = 888.92

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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.