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Finding the Fourth Proportional to 1,083.68, 1,493.52 and 788.48

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Solution

The fourth proportional to 1,083.68, 1,493.52 and 788.48 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.68 : 1,493.52 = 788.48 : x
  2. Step 2: Convert to fraction form
    1,083.68/1,493.52 = 788.48/x
  3. Step 3: Cross multiply
    1,083.68x = 1,493.52 × 788.48
  4. Step 4: Simplify right side
    1,083.68x = 1,177,610.65
  5. Step 5: Solve for x
    x = 1,177,610.65/1,083.68
  6. Step 6: Final answer
    x = 1,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.