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Finding the Fourth Proportional to 1,112.11, 1,534.74 and 640.02

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Solution

The fourth proportional to 1,112.11, 1,534.74 and 640.02 is: 883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.11 : 1,534.74 = 640.02 : x
  2. Step 2: Convert to fraction form
    1,112.11/1,534.74 = 640.02/x
  3. Step 3: Cross multiply
    1,112.11x = 1,534.74 × 640.02
  4. Step 4: Simplify right side
    1,112.11x = 982,264.29
  5. Step 5: Solve for x
    x = 982,264.29/1,112.11
  6. Step 6: Final answer
    x = 883.24

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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.