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Finding the Fourth Proportional to 1,100.51, 1,516.89 and 781.05

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Solution

The fourth proportional to 1,100.51, 1,516.89 and 781.05 is: 1,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.51 : 1,516.89 = 781.05 : x
  2. Step 2: Convert to fraction form
    1,100.51/1,516.89 = 781.05/x
  3. Step 3: Cross multiply
    1,100.51x = 1,516.89 × 781.05
  4. Step 4: Simplify right side
    1,100.51x = 1,184,766.93
  5. Step 5: Solve for x
    x = 1,184,766.93/1,100.51
  6. Step 6: Final answer
    x = 1,076.56

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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.