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Finding the Fourth Proportional to 1,311.87, 1,808.28 and 892.08

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Solution

The fourth proportional to 1,311.87, 1,808.28 and 892.08 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.87 : 1,808.28 = 892.08 : x
  2. Step 2: Convert to fraction form
    1,311.87/1,808.28 = 892.08/x
  3. Step 3: Cross multiply
    1,311.87x = 1,808.28 × 892.08
  4. Step 4: Simplify right side
    1,311.87x = 1,613,130.42
  5. Step 5: Solve for x
    x = 1,613,130.42/1,311.87
  6. Step 6: Final answer
    x = 1,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.