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Finding the Fourth Proportional to 1,052.28, 1,578.18 and 358.92

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Solution

The fourth proportional to 1,052.28, 1,578.18 and 358.92 is: 538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.28 : 1,578.18 = 358.92 : x
  2. Step 2: Convert to fraction form
    1,052.28/1,578.18 = 358.92/x
  3. Step 3: Cross multiply
    1,052.28x = 1,578.18 × 358.92
  4. Step 4: Simplify right side
    1,052.28x = 566,440.37
  5. Step 5: Solve for x
    x = 566,440.37/1,052.28
  6. Step 6: Final answer
    x = 538.30

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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.