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Finding the Fourth Proportional to 1,131.81, 1,697.25 and 400.98

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Solution

The fourth proportional to 1,131.81, 1,697.25 and 400.98 is: 601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.81 : 1,697.25 = 400.98 : x
  2. Step 2: Convert to fraction form
    1,131.81/1,697.25 = 400.98/x
  3. Step 3: Cross multiply
    1,131.81x = 1,697.25 × 400.98
  4. Step 4: Simplify right side
    1,131.81x = 680,571.17
  5. Step 5: Solve for x
    x = 680,571.17/1,131.81
  6. Step 6: Final answer
    x = 601.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.