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Finding the Fourth Proportional to 1,127.37, 1,555.83 and 685.20

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Solution

The fourth proportional to 1,127.37, 1,555.83 and 685.20 is: 945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.37 : 1,555.83 = 685.20 : x
  2. Step 2: Convert to fraction form
    1,127.37/1,555.83 = 685.20/x
  3. Step 3: Cross multiply
    1,127.37x = 1,555.83 × 685.20
  4. Step 4: Simplify right side
    1,127.37x = 1,066,054.72
  5. Step 5: Solve for x
    x = 1,066,054.72/1,127.37
  6. Step 6: Final answer
    x = 945.61

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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.