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Finding the Fourth Proportional to 1,052.67, 1,579.00 and 359.33

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Solution

The fourth proportional to 1,052.67, 1,579.00 and 359.33 is: 538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.67 : 1,579.00 = 359.33 : x
  2. Step 2: Convert to fraction form
    1,052.67/1,579.00 = 359.33/x
  3. Step 3: Cross multiply
    1,052.67x = 1,579.00 × 359.33
  4. Step 4: Simplify right side
    1,052.67x = 567,380.27
  5. Step 5: Solve for x
    x = 567,380.27/1,052.67
  6. Step 6: Final answer
    x = 538.99

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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.