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Finding the Fourth Proportional to 705.80, 971.78 and 600.68

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Solution

The fourth proportional to 705.80, 971.78 and 600.68 is: 827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 971.78 = 600.68 : x
  2. Step 2: Convert to fraction form
    705.80/971.78 = 600.68/x
  3. Step 3: Cross multiply
    705.80x = 971.78 × 600.68
  4. Step 4: Simplify right side
    705.80x = 583,728.81
  5. Step 5: Solve for x
    x = 583,728.81/705.80
  6. Step 6: Final answer
    x = 827.05

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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.