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Finding the Fourth Proportional to 983.73, 1,474.35 and 462.59

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Solution

The fourth proportional to 983.73, 1,474.35 and 462.59 is: 693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.73 : 1,474.35 = 462.59 : x
  2. Step 2: Convert to fraction form
    983.73/1,474.35 = 462.59/x
  3. Step 3: Cross multiply
    983.73x = 1,474.35 × 462.59
  4. Step 4: Simplify right side
    983.73x = 682,009.88
  5. Step 5: Solve for x
    x = 682,009.88/983.73
  6. Step 6: Final answer
    x = 693.29

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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.