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Finding the Fourth Proportional to 967.67, 1,451.02 and 474.12

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Solution

The fourth proportional to 967.67, 1,451.02 and 474.12 is: 710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.67 : 1,451.02 = 474.12 : x
  2. Step 2: Convert to fraction form
    967.67/1,451.02 = 474.12/x
  3. Step 3: Cross multiply
    967.67x = 1,451.02 × 474.12
  4. Step 4: Simplify right side
    967.67x = 687,957.60
  5. Step 5: Solve for x
    x = 687,957.60/967.67
  6. Step 6: Final answer
    x = 710.94

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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.