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Finding the Fourth Proportional to 1,212.27, 1,672.30 and 917.02

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Solution

The fourth proportional to 1,212.27, 1,672.30 and 917.02 is: 1,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.27 : 1,672.30 = 917.02 : x
  2. Step 2: Convert to fraction form
    1,212.27/1,672.30 = 917.02/x
  3. Step 3: Cross multiply
    1,212.27x = 1,672.30 × 917.02
  4. Step 4: Simplify right side
    1,212.27x = 1,533,530.62
  5. Step 5: Solve for x
    x = 1,533,530.62/1,212.27
  6. Step 6: Final answer
    x = 1,265.01

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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.