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Finding the Fourth Proportional to 1,040.91, 1,436.37 and 642.46

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Solution

The fourth proportional to 1,040.91, 1,436.37 and 642.46 is: 886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.91 : 1,436.37 = 642.46 : x
  2. Step 2: Convert to fraction form
    1,040.91/1,436.37 = 642.46/x
  3. Step 3: Cross multiply
    1,040.91x = 1,436.37 × 642.46
  4. Step 4: Simplify right side
    1,040.91x = 922,810.27
  5. Step 5: Solve for x
    x = 922,810.27/1,040.91
  6. Step 6: Final answer
    x = 886.54

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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.