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Finding the Fourth Proportional to 968.01, 1,451.70 and 318.62

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Solution

The fourth proportional to 968.01, 1,451.70 and 318.62 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.01 : 1,451.70 = 318.62 : x
  2. Step 2: Convert to fraction form
    968.01/1,451.70 = 318.62/x
  3. Step 3: Cross multiply
    968.01x = 1,451.70 × 318.62
  4. Step 4: Simplify right side
    968.01x = 462,533.40
  5. Step 5: Solve for x
    x = 462,533.40/968.01
  6. Step 6: Final answer
    x = 477.82

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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.