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Finding the Fourth Proportional to 1,192.66, 1,645.89 and 661.55

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Solution

The fourth proportional to 1,192.66, 1,645.89 and 661.55 is: 912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.66 : 1,645.89 = 661.55 : x
  2. Step 2: Convert to fraction form
    1,192.66/1,645.89 = 661.55/x
  3. Step 3: Cross multiply
    1,192.66x = 1,645.89 × 661.55
  4. Step 4: Simplify right side
    1,192.66x = 1,088,839.34
  5. Step 5: Solve for x
    x = 1,088,839.34/1,192.66
  6. Step 6: Final answer
    x = 912.95

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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.