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Finding the Fourth Proportional to 717.94, 1,077.09 and 285.22

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Solution

The fourth proportional to 717.94, 1,077.09 and 285.22 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.94 : 1,077.09 = 285.22 : x
  2. Step 2: Convert to fraction form
    717.94/1,077.09 = 285.22/x
  3. Step 3: Cross multiply
    717.94x = 1,077.09 × 285.22
  4. Step 4: Simplify right side
    717.94x = 307,207.61
  5. Step 5: Solve for x
    x = 307,207.61/717.94
  6. Step 6: Final answer
    x = 427.90

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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.