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Finding the Fourth Proportional to 668.48, 1,001.34 and 448.43

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Solution

The fourth proportional to 668.48, 1,001.34 and 448.43 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 1,001.34 = 448.43 : x
  2. Step 2: Convert to fraction form
    668.48/1,001.34 = 448.43/x
  3. Step 3: Cross multiply
    668.48x = 1,001.34 × 448.43
  4. Step 4: Simplify right side
    668.48x = 449,025.89
  5. Step 5: Solve for x
    x = 449,025.89/668.48
  6. Step 6: Final answer
    x = 671.72

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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.