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Finding the Fourth Proportional to 1,080.86, 1,491.72 and 661.23

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Solution

The fourth proportional to 1,080.86, 1,491.72 and 661.23 is: 912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.86 : 1,491.72 = 661.23 : x
  2. Step 2: Convert to fraction form
    1,080.86/1,491.72 = 661.23/x
  3. Step 3: Cross multiply
    1,080.86x = 1,491.72 × 661.23
  4. Step 4: Simplify right side
    1,080.86x = 986,361.24
  5. Step 5: Solve for x
    x = 986,361.24/1,080.86
  6. Step 6: Final answer
    x = 912.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.