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Finding the Fourth Proportional to 1,145.33, 1,717.25 and 734.81

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Solution

The fourth proportional to 1,145.33, 1,717.25 and 734.81 is: 1,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.33 : 1,717.25 = 734.81 : x
  2. Step 2: Convert to fraction form
    1,145.33/1,717.25 = 734.81/x
  3. Step 3: Cross multiply
    1,145.33x = 1,717.25 × 734.81
  4. Step 4: Simplify right side
    1,145.33x = 1,261,851.59
  5. Step 5: Solve for x
    x = 1,261,851.59/1,145.33
  6. Step 6: Final answer
    x = 1,101.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.