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Finding the Fourth Proportional to 668.18, 999.90 and 582.50

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Solution

The fourth proportional to 668.18, 999.90 and 582.50 is: 871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 999.90 = 582.50 : x
  2. Step 2: Convert to fraction form
    668.18/999.90 = 582.50/x
  3. Step 3: Cross multiply
    668.18x = 999.90 × 582.50
  4. Step 4: Simplify right side
    668.18x = 582,436.75
  5. Step 5: Solve for x
    x = 582,436.75/668.18
  6. Step 6: Final answer
    x = 871.68

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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.