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Finding the Fourth Proportional to 974.55, 1,460.79 and 453.95

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Solution

The fourth proportional to 974.55, 1,460.79 and 453.95 is: 680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.55 : 1,460.79 = 453.95 : x
  2. Step 2: Convert to fraction form
    974.55/1,460.79 = 453.95/x
  3. Step 3: Cross multiply
    974.55x = 1,460.79 × 453.95
  4. Step 4: Simplify right side
    974.55x = 663,118.32
  5. Step 5: Solve for x
    x = 663,118.32/974.55
  6. Step 6: Final answer
    x = 680.44

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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.