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Finding the Fourth Proportional to 1,221.17, 1,685.96 and 927.74

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Solution

The fourth proportional to 1,221.17, 1,685.96 and 927.74 is: 1,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.17 : 1,685.96 = 927.74 : x
  2. Step 2: Convert to fraction form
    1,221.17/1,685.96 = 927.74/x
  3. Step 3: Cross multiply
    1,221.17x = 1,685.96 × 927.74
  4. Step 4: Simplify right side
    1,221.17x = 1,564,119.46
  5. Step 5: Solve for x
    x = 1,564,119.46/1,221.17
  6. Step 6: Final answer
    x = 1,280.84

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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.