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Finding the Fourth Proportional to 1,133.81, 1,564.61 and 667.97

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Solution

The fourth proportional to 1,133.81, 1,564.61 and 667.97 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.81 : 1,564.61 = 667.97 : x
  2. Step 2: Convert to fraction form
    1,133.81/1,564.61 = 667.97/x
  3. Step 3: Cross multiply
    1,133.81x = 1,564.61 × 667.97
  4. Step 4: Simplify right side
    1,133.81x = 1,045,109.20
  5. Step 5: Solve for x
    x = 1,045,109.20/1,133.81
  6. Step 6: Final answer
    x = 921.77

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