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Finding the Fourth Proportional to 1,228.07, 1,837.04 and 788.64

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Solution

The fourth proportional to 1,228.07, 1,837.04 and 788.64 is: 1,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.07 : 1,837.04 = 788.64 : x
  2. Step 2: Convert to fraction form
    1,228.07/1,837.04 = 788.64/x
  3. Step 3: Cross multiply
    1,228.07x = 1,837.04 × 788.64
  4. Step 4: Simplify right side
    1,228.07x = 1,448,766.83
  5. Step 5: Solve for x
    x = 1,448,766.83/1,228.07
  6. Step 6: Final answer
    x = 1,179.71

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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.