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Finding the Fourth Proportional to 909.74, 1,363.74 and 493.42

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Solution

The fourth proportional to 909.74, 1,363.74 and 493.42 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,363.74 = 493.42 : x
  2. Step 2: Convert to fraction form
    909.74/1,363.74 = 493.42/x
  3. Step 3: Cross multiply
    909.74x = 1,363.74 × 493.42
  4. Step 4: Simplify right side
    909.74x = 672,896.59
  5. Step 5: Solve for x
    x = 672,896.59/909.74
  6. Step 6: Final answer
    x = 739.66

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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.