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Finding the Fourth Proportional to 645.77, 969.57 and 493.59

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Solution

The fourth proportional to 645.77, 969.57 and 493.59 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 969.57 = 493.59 : x
  2. Step 2: Convert to fraction form
    645.77/969.57 = 493.59/x
  3. Step 3: Cross multiply
    645.77x = 969.57 × 493.59
  4. Step 4: Simplify right side
    645.77x = 478,573.69
  5. Step 5: Solve for x
    x = 478,573.69/645.77
  6. Step 6: Final answer
    x = 741.09

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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.