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Finding the Fourth Proportional to 1,042.46, 1,563.93 and 494.36

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Solution

The fourth proportional to 1,042.46, 1,563.93 and 494.36 is: 741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.46 : 1,563.93 = 494.36 : x
  2. Step 2: Convert to fraction form
    1,042.46/1,563.93 = 494.36/x
  3. Step 3: Cross multiply
    1,042.46x = 1,563.93 × 494.36
  4. Step 4: Simplify right side
    1,042.46x = 773,136.62
  5. Step 5: Solve for x
    x = 773,136.62/1,042.46
  6. Step 6: Final answer
    x = 741.65

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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.