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Finding the Fourth Proportional to 941.19, 1,298.97 and 610.59

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Solution

The fourth proportional to 941.19, 1,298.97 and 610.59 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.19 : 1,298.97 = 610.59 : x
  2. Step 2: Convert to fraction form
    941.19/1,298.97 = 610.59/x
  3. Step 3: Cross multiply
    941.19x = 1,298.97 × 610.59
  4. Step 4: Simplify right side
    941.19x = 793,138.09
  5. Step 5: Solve for x
    x = 793,138.09/941.19
  6. Step 6: Final answer
    x = 842.70

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