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Finding the Fourth Proportional to 668.16, 1,002.24 and 462.51

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Solution

The fourth proportional to 668.16, 1,002.24 and 462.51 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 1,002.24 = 462.51 : x
  2. Step 2: Convert to fraction form
    668.16/1,002.24 = 462.51/x
  3. Step 3: Cross multiply
    668.16x = 1,002.24 × 462.51
  4. Step 4: Simplify right side
    668.16x = 463,546.02
  5. Step 5: Solve for x
    x = 463,546.02/668.16
  6. Step 6: Final answer
    x = 693.77

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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.