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Finding the Fourth Proportional to 1,128.18, 1,556.61 and 685.98

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Solution

The fourth proportional to 1,128.18, 1,556.61 and 685.98 is: 946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.18 : 1,556.61 = 685.98 : x
  2. Step 2: Convert to fraction form
    1,128.18/1,556.61 = 685.98/x
  3. Step 3: Cross multiply
    1,128.18x = 1,556.61 × 685.98
  4. Step 4: Simplify right side
    1,128.18x = 1,067,803.33
  5. Step 5: Solve for x
    x = 1,067,803.33/1,128.18
  6. Step 6: Final answer
    x = 946.48

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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.