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Finding the Fourth Proportional to 968.10, 1,336.20 and 575.34

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Solution

The fourth proportional to 968.10, 1,336.20 and 575.34 is: 794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.10 : 1,336.20 = 575.34 : x
  2. Step 2: Convert to fraction form
    968.10/1,336.20 = 575.34/x
  3. Step 3: Cross multiply
    968.10x = 1,336.20 × 575.34
  4. Step 4: Simplify right side
    968.10x = 768,769.31
  5. Step 5: Solve for x
    x = 768,769.31/968.10
  6. Step 6: Final answer
    x = 794.10

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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.