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Finding the Fourth Proportional to 968.52, 1,336.32 and 619.20

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Solution

The fourth proportional to 968.52, 1,336.32 and 619.20 is: 854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.52 : 1,336.32 = 619.20 : x
  2. Step 2: Convert to fraction form
    968.52/1,336.32 = 619.20/x
  3. Step 3: Cross multiply
    968.52x = 1,336.32 × 619.20
  4. Step 4: Simplify right side
    968.52x = 827,449.34
  5. Step 5: Solve for x
    x = 827,449.34/968.52
  6. Step 6: Final answer
    x = 854.34

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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.