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Finding the Fourth Proportional to 844.29, 1,165.16 and 471.27

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Solution

The fourth proportional to 844.29, 1,165.16 and 471.27 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.29 : 1,165.16 = 471.27 : x
  2. Step 2: Convert to fraction form
    844.29/1,165.16 = 471.27/x
  3. Step 3: Cross multiply
    844.29x = 1,165.16 × 471.27
  4. Step 4: Simplify right side
    844.29x = 549,096.77
  5. Step 5: Solve for x
    x = 549,096.77/844.29
  6. Step 6: Final answer
    x = 650.37

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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.