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Finding the Fourth Proportional to 974.09, 1,461.23 and 280.77

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Solution

The fourth proportional to 974.09, 1,461.23 and 280.77 is: 421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.09 : 1,461.23 = 280.77 : x
  2. Step 2: Convert to fraction form
    974.09/1,461.23 = 280.77/x
  3. Step 3: Cross multiply
    974.09x = 1,461.23 × 280.77
  4. Step 4: Simplify right side
    974.09x = 410,268.14
  5. Step 5: Solve for x
    x = 410,268.14/974.09
  6. Step 6: Final answer
    x = 421.18

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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.