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Finding the Fourth Proportional to 1,352.45, 2,029.21 and 531.31

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Solution

The fourth proportional to 1,352.45, 2,029.21 and 531.31 is: 797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.45 : 2,029.21 = 531.31 : x
  2. Step 2: Convert to fraction form
    1,352.45/2,029.21 = 531.31/x
  3. Step 3: Cross multiply
    1,352.45x = 2,029.21 × 531.31
  4. Step 4: Simplify right side
    1,352.45x = 1,078,133.16
  5. Step 5: Solve for x
    x = 1,078,133.16/1,352.45
  6. Step 6: Final answer
    x = 797.17

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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.