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Finding the Fourth Proportional to 844.40, 1,165.14 and 471.26

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Solution

The fourth proportional to 844.40, 1,165.14 and 471.26 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.40 : 1,165.14 = 471.26 : x
  2. Step 2: Convert to fraction form
    844.40/1,165.14 = 471.26/x
  3. Step 3: Cross multiply
    844.40x = 1,165.14 × 471.26
  4. Step 4: Simplify right side
    844.40x = 549,083.88
  5. Step 5: Solve for x
    x = 549,083.88/844.40
  6. Step 6: Final answer
    x = 650.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.