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Finding the Fourth Proportional to 1,043.44, 1,562.85 and 713.59

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Solution

The fourth proportional to 1,043.44, 1,562.85 and 713.59 is: 1,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.44 : 1,562.85 = 713.59 : x
  2. Step 2: Convert to fraction form
    1,043.44/1,562.85 = 713.59/x
  3. Step 3: Cross multiply
    1,043.44x = 1,562.85 × 713.59
  4. Step 4: Simplify right side
    1,043.44x = 1,115,236.25
  5. Step 5: Solve for x
    x = 1,115,236.25/1,043.44
  6. Step 6: Final answer
    x = 1,068.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.