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Finding the Fourth Proportional to 561.40, 774.84 and 523.60

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Solution

The fourth proportional to 561.40, 774.84 and 523.60 is: 722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 774.84 = 523.60 : x
  2. Step 2: Convert to fraction form
    561.40/774.84 = 523.60/x
  3. Step 3: Cross multiply
    561.40x = 774.84 × 523.60
  4. Step 4: Simplify right side
    561.40x = 405,706.22
  5. Step 5: Solve for x
    x = 405,706.22/561.40
  6. Step 6: Final answer
    x = 722.67

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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.