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Finding the Fourth Proportional to 1,177.85, 1,766.36 and 344.69

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Solution

The fourth proportional to 1,177.85, 1,766.36 and 344.69 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.85 : 1,766.36 = 344.69 : x
  2. Step 2: Convert to fraction form
    1,177.85/1,766.36 = 344.69/x
  3. Step 3: Cross multiply
    1,177.85x = 1,766.36 × 344.69
  4. Step 4: Simplify right side
    1,177.85x = 608,836.07
  5. Step 5: Solve for x
    x = 608,836.07/1,177.85
  6. Step 6: Final answer
    x = 516.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.