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Finding the Fourth Proportional to 974.72, 1,453.42 and 962.48

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Solution

The fourth proportional to 974.72, 1,453.42 and 962.48 is: 1,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.72 : 1,453.42 = 962.48 : x
  2. Step 2: Convert to fraction form
    974.72/1,453.42 = 962.48/x
  3. Step 3: Cross multiply
    974.72x = 1,453.42 × 962.48
  4. Step 4: Simplify right side
    974.72x = 1,398,887.68
  5. Step 5: Solve for x
    x = 1,398,887.68/974.72
  6. Step 6: Final answer
    x = 1,435.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.