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Finding the Fourth Proportional to 1,134.94, 1,701.19 and 646.94

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Solution

The fourth proportional to 1,134.94, 1,701.19 and 646.94 is: 969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.94 : 1,701.19 = 646.94 : x
  2. Step 2: Convert to fraction form
    1,134.94/1,701.19 = 646.94/x
  3. Step 3: Cross multiply
    1,134.94x = 1,701.19 × 646.94
  4. Step 4: Simplify right side
    1,134.94x = 1,100,560.97
  5. Step 5: Solve for x
    x = 1,100,560.97/1,134.94
  6. Step 6: Final answer
    x = 969.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.