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Finding the Fourth Proportional to 1,086.94, 1,499.07 and 890.11

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Solution

The fourth proportional to 1,086.94, 1,499.07 and 890.11 is: 1,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.94 : 1,499.07 = 890.11 : x
  2. Step 2: Convert to fraction form
    1,086.94/1,499.07 = 890.11/x
  3. Step 3: Cross multiply
    1,086.94x = 1,499.07 × 890.11
  4. Step 4: Simplify right side
    1,086.94x = 1,334,337.20
  5. Step 5: Solve for x
    x = 1,334,337.20/1,086.94
  6. Step 6: Final answer
    x = 1,227.61

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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.