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Finding the Fourth Proportional to 1,133.36, 1,564.15 and 636.09

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Solution

The fourth proportional to 1,133.36, 1,564.15 and 636.09 is: 877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.36 : 1,564.15 = 636.09 : x
  2. Step 2: Convert to fraction form
    1,133.36/1,564.15 = 636.09/x
  3. Step 3: Cross multiply
    1,133.36x = 1,564.15 × 636.09
  4. Step 4: Simplify right side
    1,133.36x = 994,940.17
  5. Step 5: Solve for x
    x = 994,940.17/1,133.36
  6. Step 6: Final answer
    x = 877.87

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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.