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Finding the Fourth Proportional to 1,086.74, 1,630.15 and 346.42

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Solution

The fourth proportional to 1,086.74, 1,630.15 and 346.42 is: 519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.74 : 1,630.15 = 346.42 : x
  2. Step 2: Convert to fraction form
    1,086.74/1,630.15 = 346.42/x
  3. Step 3: Cross multiply
    1,086.74x = 1,630.15 × 346.42
  4. Step 4: Simplify right side
    1,086.74x = 564,716.56
  5. Step 5: Solve for x
    x = 564,716.56/1,086.74
  6. Step 6: Final answer
    x = 519.65

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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.