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Finding the Fourth Proportional to 808.53, 1,212.73 and 260.56

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Solution

The fourth proportional to 808.53, 1,212.73 and 260.56 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.53 : 1,212.73 = 260.56 : x
  2. Step 2: Convert to fraction form
    808.53/1,212.73 = 260.56/x
  3. Step 3: Cross multiply
    808.53x = 1,212.73 × 260.56
  4. Step 4: Simplify right side
    808.53x = 315,988.93
  5. Step 5: Solve for x
    x = 315,988.93/808.53
  6. Step 6: Final answer
    x = 390.82

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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.