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Finding the Fourth Proportional to 1,052.16, 1,578.10 and 358.83

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Solution

The fourth proportional to 1,052.16, 1,578.10 and 358.83 is: 538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.16 : 1,578.10 = 358.83 : x
  2. Step 2: Convert to fraction form
    1,052.16/1,578.10 = 358.83/x
  3. Step 3: Cross multiply
    1,052.16x = 1,578.10 × 358.83
  4. Step 4: Simplify right side
    1,052.16x = 566,269.62
  5. Step 5: Solve for x
    x = 566,269.62/1,052.16
  6. Step 6: Final answer
    x = 538.20

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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.