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Finding the Fourth Proportional to 1,778.46, 2,665.05 and 805.24

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Solution

The fourth proportional to 1,778.46, 2,665.05 and 805.24 is: 1,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.46 : 2,665.05 = 805.24 : x
  2. Step 2: Convert to fraction form
    1,778.46/2,665.05 = 805.24/x
  3. Step 3: Cross multiply
    1,778.46x = 2,665.05 × 805.24
  4. Step 4: Simplify right side
    1,778.46x = 2,146,004.86
  5. Step 5: Solve for x
    x = 2,146,004.86/1,778.46
  6. Step 6: Final answer
    x = 1,206.66

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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.