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Finding the Fourth Proportional to 1,163.37, 1,595.04 and 1,142.58

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Solution

The fourth proportional to 1,163.37, 1,595.04 and 1,142.58 is: 1,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.37 : 1,595.04 = 1,142.58 : x
  2. Step 2: Convert to fraction form
    1,163.37/1,595.04 = 1,142.58/x
  3. Step 3: Cross multiply
    1,163.37x = 1,595.04 × 1,142.58
  4. Step 4: Simplify right side
    1,163.37x = 1,822,460.80
  5. Step 5: Solve for x
    x = 1,822,460.80/1,163.37
  6. Step 6: Final answer
    x = 1,566.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.