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Finding the Fourth Proportional to 1,083.23, 1,624.23 and 644.61

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Solution

The fourth proportional to 1,083.23, 1,624.23 and 644.61 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.23 : 1,624.23 = 644.61 : x
  2. Step 2: Convert to fraction form
    1,083.23/1,624.23 = 644.61/x
  3. Step 3: Cross multiply
    1,083.23x = 1,624.23 × 644.61
  4. Step 4: Simplify right side
    1,083.23x = 1,047,003.41
  5. Step 5: Solve for x
    x = 1,047,003.41/1,083.23
  6. Step 6: Final answer
    x = 966.56

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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.