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Finding the Fourth Proportional to 941.26, 1,298.64 and 609.80

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Solution

The fourth proportional to 941.26, 1,298.64 and 609.80 is: 841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.26 : 1,298.64 = 609.80 : x
  2. Step 2: Convert to fraction form
    941.26/1,298.64 = 609.80/x
  3. Step 3: Cross multiply
    941.26x = 1,298.64 × 609.80
  4. Step 4: Simplify right side
    941.26x = 791,910.67
  5. Step 5: Solve for x
    x = 791,910.67/941.26
  6. Step 6: Final answer
    x = 841.33

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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.