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Finding the Fourth Proportional to 967.52, 1,450.67 and 480.91

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Solution

The fourth proportional to 967.52, 1,450.67 and 480.91 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,450.67 = 480.91 : x
  2. Step 2: Convert to fraction form
    967.52/1,450.67 = 480.91/x
  3. Step 3: Cross multiply
    967.52x = 1,450.67 × 480.91
  4. Step 4: Simplify right side
    967.52x = 697,641.71
  5. Step 5: Solve for x
    x = 697,641.71/967.52
  6. Step 6: Final answer
    x = 721.06

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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.