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Finding the Fourth Proportional to 1,074.90, 1,612.85 and 334.62

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Solution

The fourth proportional to 1,074.90, 1,612.85 and 334.62 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.90 : 1,612.85 = 334.62 : x
  2. Step 2: Convert to fraction form
    1,074.90/1,612.85 = 334.62/x
  3. Step 3: Cross multiply
    1,074.90x = 1,612.85 × 334.62
  4. Step 4: Simplify right side
    1,074.90x = 539,690.19
  5. Step 5: Solve for x
    x = 539,690.19/1,074.90
  6. Step 6: Final answer
    x = 502.09

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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.