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Finding the Fourth Proportional to 756.73, 1,044.36 and 442.01

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Solution

The fourth proportional to 756.73, 1,044.36 and 442.01 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.73 : 1,044.36 = 442.01 : x
  2. Step 2: Convert to fraction form
    756.73/1,044.36 = 442.01/x
  3. Step 3: Cross multiply
    756.73x = 1,044.36 × 442.01
  4. Step 4: Simplify right side
    756.73x = 461,617.56
  5. Step 5: Solve for x
    x = 461,617.56/756.73
  6. Step 6: Final answer
    x = 610.02

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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.