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Finding the Fourth Proportional to 1,185.81, 1,636.16 and 661.83

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Solution

The fourth proportional to 1,185.81, 1,636.16 and 661.83 is: 913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.81 : 1,636.16 = 661.83 : x
  2. Step 2: Convert to fraction form
    1,185.81/1,636.16 = 661.83/x
  3. Step 3: Cross multiply
    1,185.81x = 1,636.16 × 661.83
  4. Step 4: Simplify right side
    1,185.81x = 1,082,859.77
  5. Step 5: Solve for x
    x = 1,082,859.77/1,185.81
  6. Step 6: Final answer
    x = 913.18

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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.