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Finding the Fourth Proportional to 886.84, 1,224.27 and 687.22

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Solution

The fourth proportional to 886.84, 1,224.27 and 687.22 is: 948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.84 : 1,224.27 = 687.22 : x
  2. Step 2: Convert to fraction form
    886.84/1,224.27 = 687.22/x
  3. Step 3: Cross multiply
    886.84x = 1,224.27 × 687.22
  4. Step 4: Simplify right side
    886.84x = 841,339.77
  5. Step 5: Solve for x
    x = 841,339.77/886.84
  6. Step 6: Final answer
    x = 948.70

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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.