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Finding the Fourth Proportional to 1,542.43, 2,313.99 and 446.88

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Solution

The fourth proportional to 1,542.43, 2,313.99 and 446.88 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.43 : 2,313.99 = 446.88 : x
  2. Step 2: Convert to fraction form
    1,542.43/2,313.99 = 446.88/x
  3. Step 3: Cross multiply
    1,542.43x = 2,313.99 × 446.88
  4. Step 4: Simplify right side
    1,542.43x = 1,034,075.85
  5. Step 5: Solve for x
    x = 1,034,075.85/1,542.43
  6. Step 6: Final answer
    x = 670.42

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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.