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Finding the Fourth Proportional to 668.67, 1,000.49 and 463.64

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Solution

The fourth proportional to 668.67, 1,000.49 and 463.64 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.67 : 1,000.49 = 463.64 : x
  2. Step 2: Convert to fraction form
    668.67/1,000.49 = 463.64/x
  3. Step 3: Cross multiply
    668.67x = 1,000.49 × 463.64
  4. Step 4: Simplify right side
    668.67x = 463,859.86
  5. Step 5: Solve for x
    x = 463,859.86/668.67
  6. Step 6: Final answer
    x = 693.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.