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Finding the Fourth Proportional to 1,127.97, 1,556.15 and 685.71

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Solution

The fourth proportional to 1,127.97, 1,556.15 and 685.71 is: 946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.97 : 1,556.15 = 685.71 : x
  2. Step 2: Convert to fraction form
    1,127.97/1,556.15 = 685.71/x
  3. Step 3: Cross multiply
    1,127.97x = 1,556.15 × 685.71
  4. Step 4: Simplify right side
    1,127.97x = 1,067,064.19
  5. Step 5: Solve for x
    x = 1,067,064.19/1,127.97
  6. Step 6: Final answer
    x = 946.00

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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.