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Finding the Fourth Proportional to 756.94, 1,044.54 and 442.20

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Solution

The fourth proportional to 756.94, 1,044.54 and 442.20 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.94 : 1,044.54 = 442.20 : x
  2. Step 2: Convert to fraction form
    756.94/1,044.54 = 442.20/x
  3. Step 3: Cross multiply
    756.94x = 1,044.54 × 442.20
  4. Step 4: Simplify right side
    756.94x = 461,895.59
  5. Step 5: Solve for x
    x = 461,895.59/756.94
  6. Step 6: Final answer
    x = 610.21

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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.