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Finding the Fourth Proportional to 1,143.52, 1,572.72 and 922

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Solution

The fourth proportional to 1,143.52, 1,572.72 and 922 is: 1,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.52 : 1,572.72 = 922 : x
  2. Step 2: Convert to fraction form
    1,143.52/1,572.72 = 922/x
  3. Step 3: Cross multiply
    1,143.52x = 1,572.72 × 922
  4. Step 4: Simplify right side
    1,143.52x = 1,450,047.84
  5. Step 5: Solve for x
    x = 1,450,047.84/1,143.52
  6. Step 6: Final answer
    x = 1,268.06

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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.