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Finding the Fourth Proportional to 1,177.53, 1,766.57 and 355.81

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Solution

The fourth proportional to 1,177.53, 1,766.57 and 355.81 is: 533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.53 : 1,766.57 = 355.81 : x
  2. Step 2: Convert to fraction form
    1,177.53/1,766.57 = 355.81/x
  3. Step 3: Cross multiply
    1,177.53x = 1,766.57 × 355.81
  4. Step 4: Simplify right side
    1,177.53x = 628,552.66
  5. Step 5: Solve for x
    x = 628,552.66/1,177.53
  6. Step 6: Final answer
    x = 533.79

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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.