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Finding the Fourth Proportional to 886.29, 1,223.10 and 513.39

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Solution

The fourth proportional to 886.29, 1,223.10 and 513.39 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.29 : 1,223.10 = 513.39 : x
  2. Step 2: Convert to fraction form
    886.29/1,223.10 = 513.39/x
  3. Step 3: Cross multiply
    886.29x = 1,223.10 × 513.39
  4. Step 4: Simplify right side
    886.29x = 627,925.02
  5. Step 5: Solve for x
    x = 627,925.02/886.29
  6. Step 6: Final answer
    x = 708.49

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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.