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Finding the Fourth Proportional to 1,360.07, 1,877.69 and 863.13

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Solution

The fourth proportional to 1,360.07, 1,877.69 and 863.13 is: 1,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.07 : 1,877.69 = 863.13 : x
  2. Step 2: Convert to fraction form
    1,360.07/1,877.69 = 863.13/x
  3. Step 3: Cross multiply
    1,360.07x = 1,877.69 × 863.13
  4. Step 4: Simplify right side
    1,360.07x = 1,620,686.25
  5. Step 5: Solve for x
    x = 1,620,686.25/1,360.07
  6. Step 6: Final answer
    x = 1,191.62

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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.