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Finding the Fourth Proportional to 1,131.40, 1,697.10 and 309.62

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Solution

The fourth proportional to 1,131.40, 1,697.10 and 309.62 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,697.10 = 309.62 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,697.10 = 309.62/x
  3. Step 3: Cross multiply
    1,131.40x = 1,697.10 × 309.62
  4. Step 4: Simplify right side
    1,131.40x = 525,448.78
  5. Step 5: Solve for x
    x = 525,448.78/1,131.40
  6. Step 6: Final answer
    x = 464.42

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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.