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Finding the Fourth Proportional to 666.86, 999.67 and 564.80

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Solution

The fourth proportional to 666.86, 999.67 and 564.80 is: 846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 999.67 = 564.80 : x
  2. Step 2: Convert to fraction form
    666.86/999.67 = 564.80/x
  3. Step 3: Cross multiply
    666.86x = 999.67 × 564.80
  4. Step 4: Simplify right side
    666.86x = 564,613.62
  5. Step 5: Solve for x
    x = 564,613.62/666.86
  6. Step 6: Final answer
    x = 846.67

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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.