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Finding the Fourth Proportional to 1,133.33, 1,564.13 and 867.39

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Solution

The fourth proportional to 1,133.33, 1,564.13 and 867.39 is: 1,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.33 : 1,564.13 = 867.39 : x
  2. Step 2: Convert to fraction form
    1,133.33/1,564.13 = 867.39/x
  3. Step 3: Cross multiply
    1,133.33x = 1,564.13 × 867.39
  4. Step 4: Simplify right side
    1,133.33x = 1,356,706.38
  5. Step 5: Solve for x
    x = 1,356,706.38/1,133.33
  6. Step 6: Final answer
    x = 1,197.10

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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.