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Finding the Fourth Proportional to 561.57, 770.01 and 506.09

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Solution

The fourth proportional to 561.57, 770.01 and 506.09 is: 693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.57 : 770.01 = 506.09 : x
  2. Step 2: Convert to fraction form
    561.57/770.01 = 506.09/x
  3. Step 3: Cross multiply
    561.57x = 770.01 × 506.09
  4. Step 4: Simplify right side
    561.57x = 389,692.41
  5. Step 5: Solve for x
    x = 389,692.41/561.57
  6. Step 6: Final answer
    x = 693.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.