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Finding the Fourth Proportional to 1,180.71, 1,770.39 and 410.67

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Solution

The fourth proportional to 1,180.71, 1,770.39 and 410.67 is: 615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.71 : 1,770.39 = 410.67 : x
  2. Step 2: Convert to fraction form
    1,180.71/1,770.39 = 410.67/x
  3. Step 3: Cross multiply
    1,180.71x = 1,770.39 × 410.67
  4. Step 4: Simplify right side
    1,180.71x = 727,046.06
  5. Step 5: Solve for x
    x = 727,046.06/1,180.71
  6. Step 6: Final answer
    x = 615.77

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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.