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Finding the Fourth Proportional to 1,180.78, 1,770.02 and 564.32

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Solution

The fourth proportional to 1,180.78, 1,770.02 and 564.32 is: 845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.78 : 1,770.02 = 564.32 : x
  2. Step 2: Convert to fraction form
    1,180.78/1,770.02 = 564.32/x
  3. Step 3: Cross multiply
    1,180.78x = 1,770.02 × 564.32
  4. Step 4: Simplify right side
    1,180.78x = 998,857.69
  5. Step 5: Solve for x
    x = 998,857.69/1,180.78
  6. Step 6: Final answer
    x = 845.93

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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.