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Finding the Fourth Proportional to 1,314.87, 1,814.34 and 755.25

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Solution

The fourth proportional to 1,314.87, 1,814.34 and 755.25 is: 1,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.87 : 1,814.34 = 755.25 : x
  2. Step 2: Convert to fraction form
    1,314.87/1,814.34 = 755.25/x
  3. Step 3: Cross multiply
    1,314.87x = 1,814.34 × 755.25
  4. Step 4: Simplify right side
    1,314.87x = 1,370,280.29
  5. Step 5: Solve for x
    x = 1,370,280.29/1,314.87
  6. Step 6: Final answer
    x = 1,042.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.