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Finding the Fourth Proportional to 1,043.56, 1,440.06 and 571.46

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Solution

The fourth proportional to 1,043.56, 1,440.06 and 571.46 is: 788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.56 : 1,440.06 = 571.46 : x
  2. Step 2: Convert to fraction form
    1,043.56/1,440.06 = 571.46/x
  3. Step 3: Cross multiply
    1,043.56x = 1,440.06 × 571.46
  4. Step 4: Simplify right side
    1,043.56x = 822,936.69
  5. Step 5: Solve for x
    x = 822,936.69/1,043.56
  6. Step 6: Final answer
    x = 788.59

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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.