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Finding the Fourth Proportional to 1,542.43, 2,313.16 and 516.19

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Solution

The fourth proportional to 1,542.43, 2,313.16 and 516.19 is: 774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.43 : 2,313.16 = 516.19 : x
  2. Step 2: Convert to fraction form
    1,542.43/2,313.16 = 516.19/x
  3. Step 3: Cross multiply
    1,542.43x = 2,313.16 × 516.19
  4. Step 4: Simplify right side
    1,542.43x = 1,194,024.92
  5. Step 5: Solve for x
    x = 1,194,024.92/1,542.43
  6. Step 6: Final answer
    x = 774.12

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1.5x scale

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.