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Finding the Fourth Proportional to 1,177.88, 1,765.80 and 446.94

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Solution

The fourth proportional to 1,177.88, 1,765.80 and 446.94 is: 670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.88 : 1,765.80 = 446.94 : x
  2. Step 2: Convert to fraction form
    1,177.88/1,765.80 = 446.94/x
  3. Step 3: Cross multiply
    1,177.88x = 1,765.80 × 446.94
  4. Step 4: Simplify right side
    1,177.88x = 789,206.65
  5. Step 5: Solve for x
    x = 789,206.65/1,177.88
  6. Step 6: Final answer
    x = 670.03

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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.