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Finding the Fourth Proportional to 1,364.91, 2,046.27 and 440.22

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Solution

The fourth proportional to 1,364.91, 2,046.27 and 440.22 is: 659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.91 : 2,046.27 = 440.22 : x
  2. Step 2: Convert to fraction form
    1,364.91/2,046.27 = 440.22/x
  3. Step 3: Cross multiply
    1,364.91x = 2,046.27 × 440.22
  4. Step 4: Simplify right side
    1,364.91x = 900,808.98
  5. Step 5: Solve for x
    x = 900,808.98/1,364.91
  6. Step 6: Final answer
    x = 659.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.