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Finding the Fourth Proportional to 844.70, 1,165.61 and 471.65

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Solution

The fourth proportional to 844.70, 1,165.61 and 471.65 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.70 : 1,165.61 = 471.65 : x
  2. Step 2: Convert to fraction form
    844.70/1,165.61 = 471.65/x
  3. Step 3: Cross multiply
    844.70x = 1,165.61 × 471.65
  4. Step 4: Simplify right side
    844.70x = 549,755.31
  5. Step 5: Solve for x
    x = 549,755.31/844.70
  6. Step 6: Final answer
    x = 650.83

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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.