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Finding the Fourth Proportional to 1,131.45, 1,697.19 and 309.79

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Solution

The fourth proportional to 1,131.45, 1,697.19 and 309.79 is: 464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.45 : 1,697.19 = 309.79 : x
  2. Step 2: Convert to fraction form
    1,131.45/1,697.19 = 309.79/x
  3. Step 3: Cross multiply
    1,131.45x = 1,697.19 × 309.79
  4. Step 4: Simplify right side
    1,131.45x = 525,772.49
  5. Step 5: Solve for x
    x = 525,772.49/1,131.45
  6. Step 6: Final answer
    x = 464.69

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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.