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Finding the Fourth Proportional to 941.36, 1,298.10 and 801.86

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Solution

The fourth proportional to 941.36, 1,298.10 and 801.86 is: 1,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.36 : 1,298.10 = 801.86 : x
  2. Step 2: Convert to fraction form
    941.36/1,298.10 = 801.86/x
  3. Step 3: Cross multiply
    941.36x = 1,298.10 × 801.86
  4. Step 4: Simplify right side
    941.36x = 1,040,894.47
  5. Step 5: Solve for x
    x = 1,040,894.47/941.36
  6. Step 6: Final answer
    x = 1,105.73

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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.