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Finding the Fourth Proportional to 1,301.46, 1,796.06 and 712.00

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Solution

The fourth proportional to 1,301.46, 1,796.06 and 712.00 is: 982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.46 : 1,796.06 = 712.00 : x
  2. Step 2: Convert to fraction form
    1,301.46/1,796.06 = 712.00/x
  3. Step 3: Cross multiply
    1,301.46x = 1,796.06 × 712.00
  4. Step 4: Simplify right side
    1,301.46x = 1,278,785.74
  5. Step 5: Solve for x
    x = 1,278,785.74/1,301.46
  6. Step 6: Final answer
    x = 982.58

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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.