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Finding the Fourth Proportional to 1,221, 1,684.97 and 661.47

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Solution

The fourth proportional to 1,221, 1,684.97 and 661.47 is: 912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221 : 1,684.97 = 661.47 : x
  2. Step 2: Convert to fraction form
    1,221/1,684.97 = 661.47/x
  3. Step 3: Cross multiply
    1,221x = 1,684.97 × 661.47
  4. Step 4: Simplify right side
    1,221x = 1,114,557.11
  5. Step 5: Solve for x
    x = 1,114,557.11/1,221
  6. Step 6: Final answer
    x = 912.82

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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.