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Finding the Fourth Proportional to 1,365.19, 1,883.64 and 805.75

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Solution

The fourth proportional to 1,365.19, 1,883.64 and 805.75 is: 1,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.19 : 1,883.64 = 805.75 : x
  2. Step 2: Convert to fraction form
    1,365.19/1,883.64 = 805.75/x
  3. Step 3: Cross multiply
    1,365.19x = 1,883.64 × 805.75
  4. Step 4: Simplify right side
    1,365.19x = 1,517,742.93
  5. Step 5: Solve for x
    x = 1,517,742.93/1,365.19
  6. Step 6: Final answer
    x = 1,111.74

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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.