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Finding the Fourth Proportional to 968.24, 1,451.34 and 473.97

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Solution

The fourth proportional to 968.24, 1,451.34 and 473.97 is: 710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,451.34 = 473.97 : x
  2. Step 2: Convert to fraction form
    968.24/1,451.34 = 473.97/x
  3. Step 3: Cross multiply
    968.24x = 1,451.34 × 473.97
  4. Step 4: Simplify right side
    968.24x = 687,885.84
  5. Step 5: Solve for x
    x = 687,885.84/968.24
  6. Step 6: Final answer
    x = 710.45

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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.