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Finding the Fourth Proportional to 1,163.08, 1,603.56 and 952.48

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Solution

The fourth proportional to 1,163.08, 1,603.56 and 952.48 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.08 : 1,603.56 = 952.48 : x
  2. Step 2: Convert to fraction form
    1,163.08/1,603.56 = 952.48/x
  3. Step 3: Cross multiply
    1,163.08x = 1,603.56 × 952.48
  4. Step 4: Simplify right side
    1,163.08x = 1,527,358.83
  5. Step 5: Solve for x
    x = 1,527,358.83/1,163.08
  6. Step 6: Final answer
    x = 1,313.20

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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.