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Finding the Fourth Proportional to 656.71, 905.92 and 609.80

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Solution

The fourth proportional to 656.71, 905.92 and 609.80 is: 841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.71 : 905.92 = 609.80 : x
  2. Step 2: Convert to fraction form
    656.71/905.92 = 609.80/x
  3. Step 3: Cross multiply
    656.71x = 905.92 × 609.80
  4. Step 4: Simplify right side
    656.71x = 552,423.96
  5. Step 5: Solve for x
    x = 552,423.96/656.71
  6. Step 6: Final answer
    x = 841.20

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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.