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Finding the Fourth Proportional to 844.79, 1,165.86 and 471.77

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Solution

The fourth proportional to 844.79, 1,165.86 and 471.77 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.79 : 1,165.86 = 471.77 : x
  2. Step 2: Convert to fraction form
    844.79/1,165.86 = 471.77/x
  3. Step 3: Cross multiply
    844.79x = 1,165.86 × 471.77
  4. Step 4: Simplify right side
    844.79x = 550,017.77
  5. Step 5: Solve for x
    x = 550,017.77/844.79
  6. Step 6: Final answer
    x = 651.07

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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.