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Finding the Fourth Proportional to 684.98, 1,027.70 and 376.43

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Solution

The fourth proportional to 684.98, 1,027.70 and 376.43 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.98 : 1,027.70 = 376.43 : x
  2. Step 2: Convert to fraction form
    684.98/1,027.70 = 376.43/x
  3. Step 3: Cross multiply
    684.98x = 1,027.70 × 376.43
  4. Step 4: Simplify right side
    684.98x = 386,855.23
  5. Step 5: Solve for x
    x = 386,855.23/684.98
  6. Step 6: Final answer
    x = 564.77

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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.