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Finding the Fourth Proportional to 1,296.42, 1,944.37 and 371.77

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Solution

The fourth proportional to 1,296.42, 1,944.37 and 371.77 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.42 : 1,944.37 = 371.77 : x
  2. Step 2: Convert to fraction form
    1,296.42/1,944.37 = 371.77/x
  3. Step 3: Cross multiply
    1,296.42x = 1,944.37 × 371.77
  4. Step 4: Simplify right side
    1,296.42x = 722,864.98
  5. Step 5: Solve for x
    x = 722,864.98/1,296.42
  6. Step 6: Final answer
    x = 557.58

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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.