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Finding the Fourth Proportional to 668.73, 923.10 and 598.67

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Solution

The fourth proportional to 668.73, 923.10 and 598.67 is: 826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.73 : 923.10 = 598.67 : x
  2. Step 2: Convert to fraction form
    668.73/923.10 = 598.67/x
  3. Step 3: Cross multiply
    668.73x = 923.10 × 598.67
  4. Step 4: Simplify right side
    668.73x = 552,627.66
  5. Step 5: Solve for x
    x = 552,627.66/668.73
  6. Step 6: Final answer
    x = 826.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.