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Finding the Fourth Proportional to 1,037.47, 1,556.22 and 379.82

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Solution

The fourth proportional to 1,037.47, 1,556.22 and 379.82 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.47 : 1,556.22 = 379.82 : x
  2. Step 2: Convert to fraction form
    1,037.47/1,556.22 = 379.82/x
  3. Step 3: Cross multiply
    1,037.47x = 1,556.22 × 379.82
  4. Step 4: Simplify right side
    1,037.47x = 591,081.58
  5. Step 5: Solve for x
    x = 591,081.58/1,037.47
  6. Step 6: Final answer
    x = 569.73

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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.