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Finding the Fourth Proportional to 1,161.56, 1,603.87 and 829.87

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Solution

The fourth proportional to 1,161.56, 1,603.87 and 829.87 is: 1,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.56 : 1,603.87 = 829.87 : x
  2. Step 2: Convert to fraction form
    1,161.56/1,603.87 = 829.87/x
  3. Step 3: Cross multiply
    1,161.56x = 1,603.87 × 829.87
  4. Step 4: Simplify right side
    1,161.56x = 1,330,997.51
  5. Step 5: Solve for x
    x = 1,330,997.51/1,161.56
  6. Step 6: Final answer
    x = 1,145.87

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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.