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Finding the Fourth Proportional to 1,384.31, 2,074.42 and 644.13

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Solution

The fourth proportional to 1,384.31, 2,074.42 and 644.13 is: 965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.31 : 2,074.42 = 644.13 : x
  2. Step 2: Convert to fraction form
    1,384.31/2,074.42 = 644.13/x
  3. Step 3: Cross multiply
    1,384.31x = 2,074.42 × 644.13
  4. Step 4: Simplify right side
    1,384.31x = 1,336,196.15
  5. Step 5: Solve for x
    x = 1,336,196.15/1,384.31
  6. Step 6: Final answer
    x = 965.24

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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.