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Finding the Fourth Proportional to 967.64, 1,451.70 and 318.38

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Solution

The fourth proportional to 967.64, 1,451.70 and 318.38 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.64 : 1,451.70 = 318.38 : x
  2. Step 2: Convert to fraction form
    967.64/1,451.70 = 318.38/x
  3. Step 3: Cross multiply
    967.64x = 1,451.70 × 318.38
  4. Step 4: Simplify right side
    967.64x = 462,192.25
  5. Step 5: Solve for x
    x = 462,192.25/967.64
  6. Step 6: Final answer
    x = 477.65

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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.