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Finding the Fourth Proportional to 1,161.93, 1,603.59 and 807.75

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Solution

The fourth proportional to 1,161.93, 1,603.59 and 807.75 is: 1,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.93 : 1,603.59 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,161.93/1,603.59 = 807.75/x
  3. Step 3: Cross multiply
    1,161.93x = 1,603.59 × 807.75
  4. Step 4: Simplify right side
    1,161.93x = 1,295,299.82
  5. Step 5: Solve for x
    x = 1,295,299.82/1,161.93
  6. Step 6: Final answer
    x = 1,114.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.