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Finding the Fourth Proportional to 725.41, 1,088.34 and 417.49

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Solution

The fourth proportional to 725.41, 1,088.34 and 417.49 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.41 : 1,088.34 = 417.49 : x
  2. Step 2: Convert to fraction form
    725.41/1,088.34 = 417.49/x
  3. Step 3: Cross multiply
    725.41x = 1,088.34 × 417.49
  4. Step 4: Simplify right side
    725.41x = 454,366.78
  5. Step 5: Solve for x
    x = 454,366.78/725.41
  6. Step 6: Final answer
    x = 626.36

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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.