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Finding the Fourth Proportional to 805.06, 1,206.64 and 440.16

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Solution

The fourth proportional to 805.06, 1,206.64 and 440.16 is: 659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,206.64 = 440.16 : x
  2. Step 2: Convert to fraction form
    805.06/1,206.64 = 440.16/x
  3. Step 3: Cross multiply
    805.06x = 1,206.64 × 440.16
  4. Step 4: Simplify right side
    805.06x = 531,114.66
  5. Step 5: Solve for x
    x = 531,114.66/805.06
  6. Step 6: Final answer
    x = 659.72

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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.