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Finding the Fourth Proportional to 886.40, 1,223.04 and 513.24

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Solution

The fourth proportional to 886.40, 1,223.04 and 513.24 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.40 : 1,223.04 = 513.24 : x
  2. Step 2: Convert to fraction form
    886.40/1,223.04 = 513.24/x
  3. Step 3: Cross multiply
    886.40x = 1,223.04 × 513.24
  4. Step 4: Simplify right side
    886.40x = 627,713.05
  5. Step 5: Solve for x
    x = 627,713.05/886.40
  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.