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Finding the Fourth Proportional to 1,052.02, 1,579.11 and 1,013.14

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Solution

The fourth proportional to 1,052.02, 1,579.11 and 1,013.14 is: 1,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.02 : 1,579.11 = 1,013.14 : x
  2. Step 2: Convert to fraction form
    1,052.02/1,579.11 = 1,013.14/x
  3. Step 3: Cross multiply
    1,052.02x = 1,579.11 × 1,013.14
  4. Step 4: Simplify right side
    1,052.02x = 1,599,859.51
  5. Step 5: Solve for x
    x = 1,599,859.51/1,052.02
  6. Step 6: Final answer
    x = 1,520.75

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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.