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Finding the Fourth Proportional to 1,164, 1,745.94 and 342.24

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Solution

The fourth proportional to 1,164, 1,745.94 and 342.24 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,745.94 = 342.24 : x
  2. Step 2: Convert to fraction form
    1,164/1,745.94 = 342.24/x
  3. Step 3: Cross multiply
    1,164x = 1,745.94 × 342.24
  4. Step 4: Simplify right side
    1,164x = 597,530.51
  5. Step 5: Solve for x
    x = 597,530.51/1,164
  6. Step 6: Final answer
    x = 513.34

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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.