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Finding the Fourth Proportional to 974.22, 1,461.40 and 480.89

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Solution

The fourth proportional to 974.22, 1,461.40 and 480.89 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.22 : 1,461.40 = 480.89 : x
  2. Step 2: Convert to fraction form
    974.22/1,461.40 = 480.89/x
  3. Step 3: Cross multiply
    974.22x = 1,461.40 × 480.89
  4. Step 4: Simplify right side
    974.22x = 702,772.65
  5. Step 5: Solve for x
    x = 702,772.65/974.22
  6. Step 6: Final answer
    x = 721.37

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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.