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Finding the Fourth Proportional to 983.33, 1,472.48 and 820.61

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Solution

The fourth proportional to 983.33, 1,472.48 and 820.61 is: 1,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.33 : 1,472.48 = 820.61 : x
  2. Step 2: Convert to fraction form
    983.33/1,472.48 = 820.61/x
  3. Step 3: Cross multiply
    983.33x = 1,472.48 × 820.61
  4. Step 4: Simplify right side
    983.33x = 1,208,327.71
  5. Step 5: Solve for x
    x = 1,208,327.71/983.33
  6. Step 6: Final answer
    x = 1,228.81

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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.