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Finding the Fourth Proportional to 983.04, 1,472.43 and 462.26

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Solution

The fourth proportional to 983.04, 1,472.43 and 462.26 is: 692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,472.43 = 462.26 : x
  2. Step 2: Convert to fraction form
    983.04/1,472.43 = 462.26/x
  3. Step 3: Cross multiply
    983.04x = 1,472.43 × 462.26
  4. Step 4: Simplify right side
    983.04x = 680,637.03
  5. Step 5: Solve for x
    x = 680,637.03/983.04
  6. Step 6: Final answer
    x = 692.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.