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Finding the Fourth Proportional to 967.70, 1,451.55 and 318.48

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Solution

The fourth proportional to 967.70, 1,451.55 and 318.48 is: 477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.70 : 1,451.55 = 318.48 : x
  2. Step 2: Convert to fraction form
    967.70/1,451.55 = 318.48/x
  3. Step 3: Cross multiply
    967.70x = 1,451.55 × 318.48
  4. Step 4: Simplify right side
    967.70x = 462,289.64
  5. Step 5: Solve for x
    x = 462,289.64/967.70
  6. Step 6: Final answer
    x = 477.72

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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.