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Finding the Fourth Proportional to 1,131.22, 1,561.35 and 665.74

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Solution

The fourth proportional to 1,131.22, 1,561.35 and 665.74 is: 918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.22 : 1,561.35 = 665.74 : x
  2. Step 2: Convert to fraction form
    1,131.22/1,561.35 = 665.74/x
  3. Step 3: Cross multiply
    1,131.22x = 1,561.35 × 665.74
  4. Step 4: Simplify right side
    1,131.22x = 1,039,453.15
  5. Step 5: Solve for x
    x = 1,039,453.15/1,131.22
  6. Step 6: Final answer
    x = 918.88

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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.