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Finding the Fourth Proportional to 701.55, 969.06 and 569.27

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Solution

The fourth proportional to 701.55, 969.06 and 569.27 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.55 : 969.06 = 569.27 : x
  2. Step 2: Convert to fraction form
    701.55/969.06 = 569.27/x
  3. Step 3: Cross multiply
    701.55x = 969.06 × 569.27
  4. Step 4: Simplify right side
    701.55x = 551,649.09
  5. Step 5: Solve for x
    x = 551,649.09/701.55
  6. Step 6: Final answer
    x = 786.33

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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.