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Finding the Fourth Proportional to 725.51, 1,088.51 and 314.78

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Solution

The fourth proportional to 725.51, 1,088.51 and 314.78 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.51 : 1,088.51 = 314.78 : x
  2. Step 2: Convert to fraction form
    725.51/1,088.51 = 314.78/x
  3. Step 3: Cross multiply
    725.51x = 1,088.51 × 314.78
  4. Step 4: Simplify right side
    725.51x = 342,634.16
  5. Step 5: Solve for x
    x = 342,634.16/725.51
  6. Step 6: Final answer
    x = 472.27

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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.