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Finding the Fourth Proportional to 844.96, 1,166.01 and 471.94

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Solution

The fourth proportional to 844.96, 1,166.01 and 471.94 is: 651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.96 : 1,166.01 = 471.94 : x
  2. Step 2: Convert to fraction form
    844.96/1,166.01 = 471.94/x
  3. Step 3: Cross multiply
    844.96x = 1,166.01 × 471.94
  4. Step 4: Simplify right side
    844.96x = 550,280.93
  5. Step 5: Solve for x
    x = 550,280.93/844.96
  6. Step 6: Final answer
    x = 651.25

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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.