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Finding the Fourth Proportional to 1,043.24, 1,568.46 and 975.56

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Solution

The fourth proportional to 1,043.24, 1,568.46 and 975.56 is: 1,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.24 : 1,568.46 = 975.56 : x
  2. Step 2: Convert to fraction form
    1,043.24/1,568.46 = 975.56/x
  3. Step 3: Cross multiply
    1,043.24x = 1,568.46 × 975.56
  4. Step 4: Simplify right side
    1,043.24x = 1,530,126.84
  5. Step 5: Solve for x
    x = 1,530,126.84/1,043.24
  6. Step 6: Final answer
    x = 1,466.71

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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.