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Finding the Fourth Proportional to 886.24, 1,223.05 and 513.15

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Solution

The fourth proportional to 886.24, 1,223.05 and 513.15 is: 708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.24 : 1,223.05 = 513.15 : x
  2. Step 2: Convert to fraction form
    886.24/1,223.05 = 513.15/x
  3. Step 3: Cross multiply
    886.24x = 1,223.05 × 513.15
  4. Step 4: Simplify right side
    886.24x = 627,603.77
  5. Step 5: Solve for x
    x = 627,603.77/886.24
  6. Step 6: Final answer
    x = 708.17

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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.