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Finding the Fourth Proportional to 1,163.76, 1,745.02 and 432.93

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Solution

The fourth proportional to 1,163.76, 1,745.02 and 432.93 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.76 : 1,745.02 = 432.93 : x
  2. Step 2: Convert to fraction form
    1,163.76/1,745.02 = 432.93/x
  3. Step 3: Cross multiply
    1,163.76x = 1,745.02 × 432.93
  4. Step 4: Simplify right side
    1,163.76x = 755,471.51
  5. Step 5: Solve for x
    x = 755,471.51/1,163.76
  6. Step 6: Final answer
    x = 649.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.