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Finding the Fourth Proportional to 1,360.82, 1,877.42 and 800.94

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Solution

The fourth proportional to 1,360.82, 1,877.42 and 800.94 is: 1,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.82 : 1,877.42 = 800.94 : x
  2. Step 2: Convert to fraction form
    1,360.82/1,877.42 = 800.94/x
  3. Step 3: Cross multiply
    1,360.82x = 1,877.42 × 800.94
  4. Step 4: Simplify right side
    1,360.82x = 1,503,696.77
  5. Step 5: Solve for x
    x = 1,503,696.77/1,360.82
  6. Step 6: Final answer
    x = 1,105.00

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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.