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Finding the Fourth Proportional to 1,177.96, 1,766.99 and 356.25

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Solution

The fourth proportional to 1,177.96, 1,766.99 and 356.25 is: 534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.96 : 1,766.99 = 356.25 : x
  2. Step 2: Convert to fraction form
    1,177.96/1,766.99 = 356.25/x
  3. Step 3: Cross multiply
    1,177.96x = 1,766.99 × 356.25
  4. Step 4: Simplify right side
    1,177.96x = 629,490.19
  5. Step 5: Solve for x
    x = 629,490.19/1,177.96
  6. Step 6: Final answer
    x = 534.39

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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.