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Finding the Fourth Proportional to 974.98, 1,462.95 and 488.03

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Solution

The fourth proportional to 974.98, 1,462.95 and 488.03 is: 732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,462.95 = 488.03 : x
  2. Step 2: Convert to fraction form
    974.98/1,462.95 = 488.03/x
  3. Step 3: Cross multiply
    974.98x = 1,462.95 × 488.03
  4. Step 4: Simplify right side
    974.98x = 713,963.49
  5. Step 5: Solve for x
    x = 713,963.49/974.98
  6. Step 6: Final answer
    x = 732.29

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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.