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Finding the Fourth Proportional to 983.23, 1,473.60 and 462.09

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Solution

The fourth proportional to 983.23, 1,473.60 and 462.09 is: 692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.23 : 1,473.60 = 462.09 : x
  2. Step 2: Convert to fraction form
    983.23/1,473.60 = 462.09/x
  3. Step 3: Cross multiply
    983.23x = 1,473.60 × 462.09
  4. Step 4: Simplify right side
    983.23x = 680,926.15
  5. Step 5: Solve for x
    x = 680,926.15/983.23
  6. Step 6: Final answer
    x = 692.54

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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.