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Finding the Fourth Proportional to 1,542.94, 2,314.42 and 516.94

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Solution

The fourth proportional to 1,542.94, 2,314.42 and 516.94 is: 775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.94 : 2,314.42 = 516.94 : x
  2. Step 2: Convert to fraction form
    1,542.94/2,314.42 = 516.94/x
  3. Step 3: Cross multiply
    1,542.94x = 2,314.42 × 516.94
  4. Step 4: Simplify right side
    1,542.94x = 1,196,409.20
  5. Step 5: Solve for x
    x = 1,196,409.20/1,542.94
  6. Step 6: Final answer
    x = 775.41

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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.