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Finding the Fourth Proportional to 666.85, 998.43 and 584.83

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Solution

The fourth proportional to 666.85, 998.43 and 584.83 is: 875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.85 : 998.43 = 584.83 : x
  2. Step 2: Convert to fraction form
    666.85/998.43 = 584.83/x
  3. Step 3: Cross multiply
    666.85x = 998.43 × 584.83
  4. Step 4: Simplify right side
    666.85x = 583,911.82
  5. Step 5: Solve for x
    x = 583,911.82/666.85
  6. Step 6: Final answer
    x = 875.63

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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.