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Finding the Fourth Proportional to 756.86, 1,044.46 and 442.10

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Solution

The fourth proportional to 756.86, 1,044.46 and 442.10 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,044.46 = 442.10 : x
  2. Step 2: Convert to fraction form
    756.86/1,044.46 = 442.10/x
  3. Step 3: Cross multiply
    756.86x = 1,044.46 × 442.10
  4. Step 4: Simplify right side
    756.86x = 461,755.77
  5. Step 5: Solve for x
    x = 461,755.77/756.86
  6. Step 6: Final answer
    x = 610.09

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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.