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Finding the Fourth Proportional to 1,112.28, 1,534.86 and 646.44

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Solution

The fourth proportional to 1,112.28, 1,534.86 and 646.44 is: 892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.28 : 1,534.86 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,112.28/1,534.86 = 646.44/x
  3. Step 3: Cross multiply
    1,112.28x = 1,534.86 × 646.44
  4. Step 4: Simplify right side
    1,112.28x = 992,194.90
  5. Step 5: Solve for x
    x = 992,194.90/1,112.28
  6. Step 6: Final answer
    x = 892.04

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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.