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Finding the Fourth Proportional to 968.58, 1,452.78 and 275.31

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Solution

The fourth proportional to 968.58, 1,452.78 and 275.31 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.58 : 1,452.78 = 275.31 : x
  2. Step 2: Convert to fraction form
    968.58/1,452.78 = 275.31/x
  3. Step 3: Cross multiply
    968.58x = 1,452.78 × 275.31
  4. Step 4: Simplify right side
    968.58x = 399,964.86
  5. Step 5: Solve for x
    x = 399,964.86/968.58
  6. Step 6: Final answer
    x = 412.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.