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Finding the Fourth Proportional to 645.94, 969.55 and 503.22

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Solution

The fourth proportional to 645.94, 969.55 and 503.22 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 969.55 = 503.22 : x
  2. Step 2: Convert to fraction form
    645.94/969.55 = 503.22/x
  3. Step 3: Cross multiply
    645.94x = 969.55 × 503.22
  4. Step 4: Simplify right side
    645.94x = 487,896.95
  5. Step 5: Solve for x
    x = 487,896.95/645.94
  6. Step 6: Final answer
    x = 755.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.