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Finding the Fourth Proportional to 1,126.02, 1,690.65 and 834.42

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Solution

The fourth proportional to 1,126.02, 1,690.65 and 834.42 is: 1,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.02 : 1,690.65 = 834.42 : x
  2. Step 2: Convert to fraction form
    1,126.02/1,690.65 = 834.42/x
  3. Step 3: Cross multiply
    1,126.02x = 1,690.65 × 834.42
  4. Step 4: Simplify right side
    1,126.02x = 1,410,712.17
  5. Step 5: Solve for x
    x = 1,410,712.17/1,126.02
  6. Step 6: Final answer
    x = 1,252.83

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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.