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Finding the Fourth Proportional to 967.45, 1,451.86 and 473.32

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Solution

The fourth proportional to 967.45, 1,451.86 and 473.32 is: 710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.45 : 1,451.86 = 473.32 : x
  2. Step 2: Convert to fraction form
    967.45/1,451.86 = 473.32/x
  3. Step 3: Cross multiply
    967.45x = 1,451.86 × 473.32
  4. Step 4: Simplify right side
    967.45x = 687,194.38
  5. Step 5: Solve for x
    x = 687,194.38/967.45
  6. Step 6: Final answer
    x = 710.32

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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.