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Finding the Fourth Proportional to 705.80, 1,058.09 and 416.63

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Solution

The fourth proportional to 705.80, 1,058.09 and 416.63 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 1,058.09 = 416.63 : x
  2. Step 2: Convert to fraction form
    705.80/1,058.09 = 416.63/x
  3. Step 3: Cross multiply
    705.80x = 1,058.09 × 416.63
  4. Step 4: Simplify right side
    705.80x = 440,824.66
  5. Step 5: Solve for x
    x = 440,824.66/705.80
  6. Step 6: Final answer
    x = 624.58

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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.