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Finding the Fourth Proportional to 1,112.43, 1,669.05 and 382.21

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Solution

The fourth proportional to 1,112.43, 1,669.05 and 382.21 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.43 : 1,669.05 = 382.21 : x
  2. Step 2: Convert to fraction form
    1,112.43/1,669.05 = 382.21/x
  3. Step 3: Cross multiply
    1,112.43x = 1,669.05 × 382.21
  4. Step 4: Simplify right side
    1,112.43x = 637,927.60
  5. Step 5: Solve for x
    x = 637,927.60/1,112.43
  6. Step 6: Final answer
    x = 573.45

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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.