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Finding the Fourth Proportional to 1,131.67, 1,697.64 and 438.18

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Solution

The fourth proportional to 1,131.67, 1,697.64 and 438.18 is: 657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.67 : 1,697.64 = 438.18 : x
  2. Step 2: Convert to fraction form
    1,131.67/1,697.64 = 438.18/x
  3. Step 3: Cross multiply
    1,131.67x = 1,697.64 × 438.18
  4. Step 4: Simplify right side
    1,131.67x = 743,871.90
  5. Step 5: Solve for x
    x = 743,871.90/1,131.67
  6. Step 6: Final answer
    x = 657.32

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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.