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Finding the Fourth Proportional to 668.20, 922.62 and 609.16

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Solution

The fourth proportional to 668.20, 922.62 and 609.16 is: 841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 922.62 = 609.16 : x
  2. Step 2: Convert to fraction form
    668.20/922.62 = 609.16/x
  3. Step 3: Cross multiply
    668.20x = 922.62 × 609.16
  4. Step 4: Simplify right side
    668.20x = 562,023.20
  5. Step 5: Solve for x
    x = 562,023.20/668.20
  6. Step 6: Final answer
    x = 841.10

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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.