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Finding the Fourth Proportional to 1,056.33, 1,458.36 and 939.56

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Solution

The fourth proportional to 1,056.33, 1,458.36 and 939.56 is: 1,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.33 : 1,458.36 = 939.56 : x
  2. Step 2: Convert to fraction form
    1,056.33/1,458.36 = 939.56/x
  3. Step 3: Cross multiply
    1,056.33x = 1,458.36 × 939.56
  4. Step 4: Simplify right side
    1,056.33x = 1,370,209.43
  5. Step 5: Solve for x
    x = 1,370,209.43/1,056.33
  6. Step 6: Final answer
    x = 1,297.14

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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.