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Finding the Fourth Proportional to 1,214.28, 1,675.62 and 952.92

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Solution

The fourth proportional to 1,214.28, 1,675.62 and 952.92 is: 1,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.28 : 1,675.62 = 952.92 : x
  2. Step 2: Convert to fraction form
    1,214.28/1,675.62 = 952.92/x
  3. Step 3: Cross multiply
    1,214.28x = 1,675.62 × 952.92
  4. Step 4: Simplify right side
    1,214.28x = 1,596,731.81
  5. Step 5: Solve for x
    x = 1,596,731.81/1,214.28
  6. Step 6: Final answer
    x = 1,314.96

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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.