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Finding the Fourth Proportional to 1,134.05, 1,564.96 and 636.81

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Solution

The fourth proportional to 1,134.05, 1,564.96 and 636.81 is: 878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.05 : 1,564.96 = 636.81 : x
  2. Step 2: Convert to fraction form
    1,134.05/1,564.96 = 636.81/x
  3. Step 3: Cross multiply
    1,134.05x = 1,564.96 × 636.81
  4. Step 4: Simplify right side
    1,134.05x = 996,582.18
  5. Step 5: Solve for x
    x = 996,582.18/1,134.05
  6. Step 6: Final answer
    x = 878.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.