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Finding the Fourth Proportional to 886.71, 1,224.73 and 650.32

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Solution

The fourth proportional to 886.71, 1,224.73 and 650.32 is: 898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.71 : 1,224.73 = 650.32 : x
  2. Step 2: Convert to fraction form
    886.71/1,224.73 = 650.32/x
  3. Step 3: Cross multiply
    886.71x = 1,224.73 × 650.32
  4. Step 4: Simplify right side
    886.71x = 796,465.43
  5. Step 5: Solve for x
    x = 796,465.43/886.71
  6. Step 6: Final answer
    x = 898.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.