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Finding the Fourth Proportional to 1,177.74, 1,766.85 and 356.00

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Solution

The fourth proportional to 1,177.74, 1,766.85 and 356.00 is: 534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.74 : 1,766.85 = 356.00 : x
  2. Step 2: Convert to fraction form
    1,177.74/1,766.85 = 356.00/x
  3. Step 3: Cross multiply
    1,177.74x = 1,766.85 × 356.00
  4. Step 4: Simplify right side
    1,177.74x = 628,988.43
  5. Step 5: Solve for x
    x = 628,988.43/1,177.74
  6. Step 6: Final answer
    x = 534.06

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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.