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Finding the Fourth Proportional to 1,161.13, 1,603.90 and 1,013.51

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Solution

The fourth proportional to 1,161.13, 1,603.90 and 1,013.51 is: 1,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.13 : 1,603.90 = 1,013.51 : x
  2. Step 2: Convert to fraction form
    1,161.13/1,603.90 = 1,013.51/x
  3. Step 3: Cross multiply
    1,161.13x = 1,603.90 × 1,013.51
  4. Step 4: Simplify right side
    1,161.13x = 1,625,568.69
  5. Step 5: Solve for x
    x = 1,625,568.69/1,161.13
  6. Step 6: Final answer
    x = 1,399.99

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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.