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Finding the Fourth Proportional to 1,112.54, 1,669.23 and 381.69

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Solution

The fourth proportional to 1,112.54, 1,669.23 and 381.69 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.54 : 1,669.23 = 381.69 : x
  2. Step 2: Convert to fraction form
    1,112.54/1,669.23 = 381.69/x
  3. Step 3: Cross multiply
    1,112.54x = 1,669.23 × 381.69
  4. Step 4: Simplify right side
    1,112.54x = 637,128.40
  5. Step 5: Solve for x
    x = 637,128.40/1,112.54
  6. Step 6: Final answer
    x = 572.68

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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.