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Finding the Fourth Proportional to 910.36, 1,257.33 and 725.86

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Solution

The fourth proportional to 910.36, 1,257.33 and 725.86 is: 1,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.36 : 1,257.33 = 725.86 : x
  2. Step 2: Convert to fraction form
    910.36/1,257.33 = 725.86/x
  3. Step 3: Cross multiply
    910.36x = 1,257.33 × 725.86
  4. Step 4: Simplify right side
    910.36x = 912,645.55
  5. Step 5: Solve for x
    x = 912,645.55/910.36
  6. Step 6: Final answer
    x = 1,002.51

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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.