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Finding the Fourth Proportional to 974.10, 1,460.73 and 453.72

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Solution

The fourth proportional to 974.10, 1,460.73 and 453.72 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,460.73 = 453.72 : x
  2. Step 2: Convert to fraction form
    974.10/1,460.73 = 453.72/x
  3. Step 3: Cross multiply
    974.10x = 1,460.73 × 453.72
  4. Step 4: Simplify right side
    974.10x = 662,762.42
  5. Step 5: Solve for x
    x = 662,762.42/974.10
  6. Step 6: Final answer
    x = 680.38

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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.