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Finding the Fourth Proportional to 1,221.07, 1,685.22 and 690.17

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Solution

The fourth proportional to 1,221.07, 1,685.22 and 690.17 is: 952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.07 : 1,685.22 = 690.17 : x
  2. Step 2: Convert to fraction form
    1,221.07/1,685.22 = 690.17/x
  3. Step 3: Cross multiply
    1,221.07x = 1,685.22 × 690.17
  4. Step 4: Simplify right side
    1,221.07x = 1,163,077.27
  5. Step 5: Solve for x
    x = 1,163,077.27/1,221.07
  6. Step 6: Final answer
    x = 952.51

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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.