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Finding the Fourth Proportional to 1,131.87, 1,697.61 and 310.14

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Solution

The fourth proportional to 1,131.87, 1,697.61 and 310.14 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.87 : 1,697.61 = 310.14 : x
  2. Step 2: Convert to fraction form
    1,131.87/1,697.61 = 310.14/x
  3. Step 3: Cross multiply
    1,131.87x = 1,697.61 × 310.14
  4. Step 4: Simplify right side
    1,131.87x = 526,496.77
  5. Step 5: Solve for x
    x = 526,496.77/1,131.87
  6. Step 6: Final answer
    x = 465.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.