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Finding the Fourth Proportional to 1,237.15, 1,855.73 and 359.71

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Solution

The fourth proportional to 1,237.15, 1,855.73 and 359.71 is: 539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.15 : 1,855.73 = 359.71 : x
  2. Step 2: Convert to fraction form
    1,237.15/1,855.73 = 359.71/x
  3. Step 3: Cross multiply
    1,237.15x = 1,855.73 × 359.71
  4. Step 4: Simplify right side
    1,237.15x = 667,518.87
  5. Step 5: Solve for x
    x = 667,518.87/1,237.15
  6. Step 6: Final answer
    x = 539.56

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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.