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Finding the Fourth Proportional to 844.60, 1,165.41 and 471.50

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Solution

The fourth proportional to 844.60, 1,165.41 and 471.50 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.60 : 1,165.41 = 471.50 : x
  2. Step 2: Convert to fraction form
    844.60/1,165.41 = 471.50/x
  3. Step 3: Cross multiply
    844.60x = 1,165.41 × 471.50
  4. Step 4: Simplify right side
    844.60x = 549,490.82
  5. Step 5: Solve for x
    x = 549,490.82/844.60
  6. Step 6: Final answer
    x = 650.59

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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.