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Finding the Fourth Proportional to 968.77, 1,451.62 and 448.68

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Solution

The fourth proportional to 968.77, 1,451.62 and 448.68 is: 672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.77 : 1,451.62 = 448.68 : x
  2. Step 2: Convert to fraction form
    968.77/1,451.62 = 448.68/x
  3. Step 3: Cross multiply
    968.77x = 1,451.62 × 448.68
  4. Step 4: Simplify right side
    968.77x = 651,308.66
  5. Step 5: Solve for x
    x = 651,308.66/968.77
  6. Step 6: Final answer
    x = 672.30

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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.