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Finding the Fourth Proportional to 983.13, 1,474.68 and 462.95

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Solution

The fourth proportional to 983.13, 1,474.68 and 462.95 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,474.68 = 462.95 : x
  2. Step 2: Convert to fraction form
    983.13/1,474.68 = 462.95/x
  3. Step 3: Cross multiply
    983.13x = 1,474.68 × 462.95
  4. Step 4: Simplify right side
    983.13x = 682,703.11
  5. Step 5: Solve for x
    x = 682,703.11/983.13
  6. Step 6: Final answer
    x = 694.42

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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.