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Finding the Fourth Proportional to 808.51, 1,212.51 and 260.58

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Solution

The fourth proportional to 808.51, 1,212.51 and 260.58 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.51 : 1,212.51 = 260.58 : x
  2. Step 2: Convert to fraction form
    808.51/1,212.51 = 260.58/x
  3. Step 3: Cross multiply
    808.51x = 1,212.51 × 260.58
  4. Step 4: Simplify right side
    808.51x = 315,949.79
  5. Step 5: Solve for x
    x = 315,949.79/808.51
  6. Step 6: Final answer
    x = 390.78

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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.