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Finding the Fourth Proportional to 1,150.94, 1,588.34 and 685.46

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Solution

The fourth proportional to 1,150.94, 1,588.34 and 685.46 is: 945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.94 : 1,588.34 = 685.46 : x
  2. Step 2: Convert to fraction form
    1,150.94/1,588.34 = 685.46/x
  3. Step 3: Cross multiply
    1,150.94x = 1,588.34 × 685.46
  4. Step 4: Simplify right side
    1,150.94x = 1,088,743.54
  5. Step 5: Solve for x
    x = 1,088,743.54/1,150.94
  6. Step 6: Final answer
    x = 945.96

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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.