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Finding the Fourth Proportional to 1,052.46, 1,577.90 and 358.70

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Solution

The fourth proportional to 1,052.46, 1,577.90 and 358.70 is: 537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.46 : 1,577.90 = 358.70 : x
  2. Step 2: Convert to fraction form
    1,052.46/1,577.90 = 358.70/x
  3. Step 3: Cross multiply
    1,052.46x = 1,577.90 × 358.70
  4. Step 4: Simplify right side
    1,052.46x = 565,992.73
  5. Step 5: Solve for x
    x = 565,992.73/1,052.46
  6. Step 6: Final answer
    x = 537.78

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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.