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Finding the Fourth Proportional to 844.69, 1,165.65 and 471.66

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Solution

The fourth proportional to 844.69, 1,165.65 and 471.66 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.69 : 1,165.65 = 471.66 : x
  2. Step 2: Convert to fraction form
    844.69/1,165.65 = 471.66/x
  3. Step 3: Cross multiply
    844.69x = 1,165.65 × 471.66
  4. Step 4: Simplify right side
    844.69x = 549,784.34
  5. Step 5: Solve for x
    x = 549,784.34/844.69
  6. Step 6: Final answer
    x = 650.87

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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.