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Finding the Fourth Proportional to 968.31, 1,451.87 and 578.24

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Solution

The fourth proportional to 968.31, 1,451.87 and 578.24 is: 867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.31 : 1,451.87 = 578.24 : x
  2. Step 2: Convert to fraction form
    968.31/1,451.87 = 578.24/x
  3. Step 3: Cross multiply
    968.31x = 1,451.87 × 578.24
  4. Step 4: Simplify right side
    968.31x = 839,529.31
  5. Step 5: Solve for x
    x = 839,529.31/968.31
  6. Step 6: Final answer
    x = 867.00

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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.