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Finding the Fourth Proportional to 1,360.89, 1,877.63 and 801.41

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Solution

The fourth proportional to 1,360.89, 1,877.63 and 801.41 is: 1,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.89 : 1,877.63 = 801.41 : x
  2. Step 2: Convert to fraction form
    1,360.89/1,877.63 = 801.41/x
  3. Step 3: Cross multiply
    1,360.89x = 1,877.63 × 801.41
  4. Step 4: Simplify right side
    1,360.89x = 1,504,738.06
  5. Step 5: Solve for x
    x = 1,504,738.06/1,360.89
  6. Step 6: Final answer
    x = 1,105.70

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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.