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Finding the Fourth Proportional to 561.76, 773.10 and 503.44

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Solution

The fourth proportional to 561.76, 773.10 and 503.44 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 773.10 = 503.44 : x
  2. Step 2: Convert to fraction form
    561.76/773.10 = 503.44/x
  3. Step 3: Cross multiply
    561.76x = 773.10 × 503.44
  4. Step 4: Simplify right side
    561.76x = 389,207.53
  5. Step 5: Solve for x
    x = 389,207.53/561.76
  6. Step 6: Final answer
    x = 692.84

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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.