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Finding the Fourth Proportional to 1,270.86, 1,906.37 and 577.59

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Solution

The fourth proportional to 1,270.86, 1,906.37 and 577.59 is: 866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.86 : 1,906.37 = 577.59 : x
  2. Step 2: Convert to fraction form
    1,270.86/1,906.37 = 577.59/x
  3. Step 3: Cross multiply
    1,270.86x = 1,906.37 × 577.59
  4. Step 4: Simplify right side
    1,270.86x = 1,101,097.36
  5. Step 5: Solve for x
    x = 1,101,097.36/1,270.86
  6. Step 6: Final answer
    x = 866.42

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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.