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Finding the Fourth Proportional to 1,131.53, 1,697.23 and 309.80

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Solution

The fourth proportional to 1,131.53, 1,697.23 and 309.80 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,697.23 = 309.80 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,697.23 = 309.80/x
  3. Step 3: Cross multiply
    1,131.53x = 1,697.23 × 309.80
  4. Step 4: Simplify right side
    1,131.53x = 525,801.85
  5. Step 5: Solve for x
    x = 525,801.85/1,131.53
  6. Step 6: Final answer
    x = 464.68

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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.