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Finding the Fourth Proportional to 705.22, 971.92 and 580.08

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Solution

The fourth proportional to 705.22, 971.92 and 580.08 is: 799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 971.92 = 580.08 : x
  2. Step 2: Convert to fraction form
    705.22/971.92 = 580.08/x
  3. Step 3: Cross multiply
    705.22x = 971.92 × 580.08
  4. Step 4: Simplify right side
    705.22x = 563,791.35
  5. Step 5: Solve for x
    x = 563,791.35/705.22
  6. Step 6: Final answer
    x = 799.45

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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.