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Finding the Fourth Proportional to 1,342.26, 1,852.37 and 752.77

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Solution

The fourth proportional to 1,342.26, 1,852.37 and 752.77 is: 1,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.26 : 1,852.37 = 752.77 : x
  2. Step 2: Convert to fraction form
    1,342.26/1,852.37 = 752.77/x
  3. Step 3: Cross multiply
    1,342.26x = 1,852.37 × 752.77
  4. Step 4: Simplify right side
    1,342.26x = 1,394,408.56
  5. Step 5: Solve for x
    x = 1,394,408.56/1,342.26
  6. Step 6: Final answer
    x = 1,038.85

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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.