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Finding the Fourth Proportional to 1,091.24, 1,505.76 and 643.13

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Solution

The fourth proportional to 1,091.24, 1,505.76 and 643.13 is: 887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.24 : 1,505.76 = 643.13 : x
  2. Step 2: Convert to fraction form
    1,091.24/1,505.76 = 643.13/x
  3. Step 3: Cross multiply
    1,091.24x = 1,505.76 × 643.13
  4. Step 4: Simplify right side
    1,091.24x = 968,399.43
  5. Step 5: Solve for x
    x = 968,399.43/1,091.24
  6. Step 6: Final answer
    x = 887.43

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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.