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Finding the Fourth Proportional to 886.23, 1,222.95 and 513.18

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Solution

The fourth proportional to 886.23, 1,222.95 and 513.18 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,222.95 = 513.18 : x
  2. Step 2: Convert to fraction form
    886.23/1,222.95 = 513.18/x
  3. Step 3: Cross multiply
    886.23x = 1,222.95 × 513.18
  4. Step 4: Simplify right side
    886.23x = 627,593.48
  5. Step 5: Solve for x
    x = 627,593.48/886.23
  6. Step 6: Final answer
    x = 708.16

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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.