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Finding the Fourth Proportional to 974.37, 1,461.03 and 454.08

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Solution

The fourth proportional to 974.37, 1,461.03 and 454.08 is: 680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.37 : 1,461.03 = 454.08 : x
  2. Step 2: Convert to fraction form
    974.37/1,461.03 = 454.08/x
  3. Step 3: Cross multiply
    974.37x = 1,461.03 × 454.08
  4. Step 4: Simplify right side
    974.37x = 663,424.50
  5. Step 5: Solve for x
    x = 663,424.50/974.37
  6. Step 6: Final answer
    x = 680.88

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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.