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Finding the Fourth Proportional to 725.74, 1,088.10 and 263.30

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Solution

The fourth proportional to 725.74, 1,088.10 and 263.30 is: 394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.74 : 1,088.10 = 263.30 : x
  2. Step 2: Convert to fraction form
    725.74/1,088.10 = 263.30/x
  3. Step 3: Cross multiply
    725.74x = 1,088.10 × 263.30
  4. Step 4: Simplify right side
    725.74x = 286,491.29
  5. Step 5: Solve for x
    x = 286,491.29/725.74
  6. Step 6: Final answer
    x = 394.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.