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Finding the Fourth Proportional to 1,040.82, 1,436.37 and 575.07

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Solution

The fourth proportional to 1,040.82, 1,436.37 and 575.07 is: 793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.82 : 1,436.37 = 575.07 : x
  2. Step 2: Convert to fraction form
    1,040.82/1,436.37 = 575.07/x
  3. Step 3: Cross multiply
    1,040.82x = 1,436.37 × 575.07
  4. Step 4: Simplify right side
    1,040.82x = 826,013.30
  5. Step 5: Solve for x
    x = 826,013.30/1,040.82
  6. Step 6: Final answer
    x = 793.62

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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.