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Finding the Fourth Proportional to 756.89, 1,044.51 and 425.30

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Solution

The fourth proportional to 756.89, 1,044.51 and 425.30 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.89 : 1,044.51 = 425.30 : x
  2. Step 2: Convert to fraction form
    756.89/1,044.51 = 425.30/x
  3. Step 3: Cross multiply
    756.89x = 1,044.51 × 425.30
  4. Step 4: Simplify right side
    756.89x = 444,224.88
  5. Step 5: Solve for x
    x = 444,224.88/756.89
  6. Step 6: Final answer
    x = 586.91

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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.