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Finding the Fourth Proportional to 844.80, 1,166.72 and 646.35

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Solution

The fourth proportional to 844.80, 1,166.72 and 646.35 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,166.72 = 646.35 : x
  2. Step 2: Convert to fraction form
    844.80/1,166.72 = 646.35/x
  3. Step 3: Cross multiply
    844.80x = 1,166.72 × 646.35
  4. Step 4: Simplify right side
    844.80x = 754,106.24
  5. Step 5: Solve for x
    x = 754,106.24/844.80
  6. Step 6: Final answer
    x = 892.64

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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.