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Finding the Fourth Proportional to 1,180.86, 1,770.09 and 770.82

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Solution

The fourth proportional to 1,180.86, 1,770.09 and 770.82 is: 1,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.86 : 1,770.09 = 770.82 : x
  2. Step 2: Convert to fraction form
    1,180.86/1,770.09 = 770.82/x
  3. Step 3: Cross multiply
    1,180.86x = 1,770.09 × 770.82
  4. Step 4: Simplify right side
    1,180.86x = 1,364,420.77
  5. Step 5: Solve for x
    x = 1,364,420.77/1,180.86
  6. Step 6: Final answer
    x = 1,155.45

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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.