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Finding the Fourth Proportional to 670.64, 931.67 and 664.63

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Solution

The fourth proportional to 670.64, 931.67 and 664.63 is: 923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 931.67 = 664.63 : x
  2. Step 2: Convert to fraction form
    670.64/931.67 = 664.63/x
  3. Step 3: Cross multiply
    670.64x = 931.67 × 664.63
  4. Step 4: Simplify right side
    670.64x = 619,215.16
  5. Step 5: Solve for x
    x = 619,215.16/670.64
  6. Step 6: Final answer
    x = 923.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.