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Finding the Fourth Proportional to 1,128.13, 1,556.82 and 685.94

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Solution

The fourth proportional to 1,128.13, 1,556.82 and 685.94 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.13 : 1,556.82 = 685.94 : x
  2. Step 2: Convert to fraction form
    1,128.13/1,556.82 = 685.94/x
  3. Step 3: Cross multiply
    1,128.13x = 1,556.82 × 685.94
  4. Step 4: Simplify right side
    1,128.13x = 1,067,877.33
  5. Step 5: Solve for x
    x = 1,067,877.33/1,128.13
  6. Step 6: Final answer
    x = 946.59

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