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Finding the Fourth Proportional to 696.72, 1,043.46 and 551.46

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Solution

The fourth proportional to 696.72, 1,043.46 and 551.46 is: 825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 1,043.46 = 551.46 : x
  2. Step 2: Convert to fraction form
    696.72/1,043.46 = 551.46/x
  3. Step 3: Cross multiply
    696.72x = 1,043.46 × 551.46
  4. Step 4: Simplify right side
    696.72x = 575,426.45
  5. Step 5: Solve for x
    x = 575,426.45/696.72
  6. Step 6: Final answer
    x = 825.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.