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Finding the Fourth Proportional to 1,177.57, 1,764.20 and 551.72

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Solution

The fourth proportional to 1,177.57, 1,764.20 and 551.72 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.57 : 1,764.20 = 551.72 : x
  2. Step 2: Convert to fraction form
    1,177.57/1,764.20 = 551.72/x
  3. Step 3: Cross multiply
    1,177.57x = 1,764.20 × 551.72
  4. Step 4: Simplify right side
    1,177.57x = 973,335.60
  5. Step 5: Solve for x
    x = 973,335.60/1,177.57
  6. Step 6: Final answer
    x = 826.56

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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.