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Finding the Fourth Proportional to 1,125.14, 1,687.83 and 345.14

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Solution

The fourth proportional to 1,125.14, 1,687.83 and 345.14 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.14 : 1,687.83 = 345.14 : x
  2. Step 2: Convert to fraction form
    1,125.14/1,687.83 = 345.14/x
  3. Step 3: Cross multiply
    1,125.14x = 1,687.83 × 345.14
  4. Step 4: Simplify right side
    1,125.14x = 582,529.21
  5. Step 5: Solve for x
    x = 582,529.21/1,125.14
  6. Step 6: Final answer
    x = 517.74

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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.