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Finding the Fourth Proportional to 790.17, 1,184.57 and 327.66

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Solution

The fourth proportional to 790.17, 1,184.57 and 327.66 is: 491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.17 : 1,184.57 = 327.66 : x
  2. Step 2: Convert to fraction form
    790.17/1,184.57 = 327.66/x
  3. Step 3: Cross multiply
    790.17x = 1,184.57 × 327.66
  4. Step 4: Simplify right side
    790.17x = 388,136.21
  5. Step 5: Solve for x
    x = 388,136.21/790.17
  6. Step 6: Final answer
    x = 491.21

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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.