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Finding the Fourth Proportional to 1,131.57, 1,697.31 and 309.93

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Solution

The fourth proportional to 1,131.57, 1,697.31 and 309.93 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,697.31 = 309.93 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,697.31 = 309.93/x
  3. Step 3: Cross multiply
    1,131.57x = 1,697.31 × 309.93
  4. Step 4: Simplify right side
    1,131.57x = 526,048.45
  5. Step 5: Solve for x
    x = 526,048.45/1,131.57
  6. Step 6: Final answer
    x = 464.88

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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.