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Finding the Fourth Proportional to 1,126.74, 1,690.27 and 346.80

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Solution

The fourth proportional to 1,126.74, 1,690.27 and 346.80 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.74 : 1,690.27 = 346.80 : x
  2. Step 2: Convert to fraction form
    1,126.74/1,690.27 = 346.80/x
  3. Step 3: Cross multiply
    1,126.74x = 1,690.27 × 346.80
  4. Step 4: Simplify right side
    1,126.74x = 586,183.90
  5. Step 5: Solve for x
    x = 586,183.90/1,126.74
  6. Step 6: Final answer
    x = 520.25

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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.