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Finding the Fourth Proportional to 1,081.85, 1,492.16 and 661.86

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Solution

The fourth proportional to 1,081.85, 1,492.16 and 661.86 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.85 : 1,492.16 = 661.86 : x
  2. Step 2: Convert to fraction form
    1,081.85/1,492.16 = 661.86/x
  3. Step 3: Cross multiply
    1,081.85x = 1,492.16 × 661.86
  4. Step 4: Simplify right side
    1,081.85x = 987,597.71
  5. Step 5: Solve for x
    x = 987,597.71/1,081.85
  6. Step 6: Final answer
    x = 912.88

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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.