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Finding the Fourth Proportional to 1,047.59, 1,445.26 and 605.41

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Solution

The fourth proportional to 1,047.59, 1,445.26 and 605.41 is: 835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.59 : 1,445.26 = 605.41 : x
  2. Step 2: Convert to fraction form
    1,047.59/1,445.26 = 605.41/x
  3. Step 3: Cross multiply
    1,047.59x = 1,445.26 × 605.41
  4. Step 4: Simplify right side
    1,047.59x = 874,974.86
  5. Step 5: Solve for x
    x = 874,974.86/1,047.59
  6. Step 6: Final answer
    x = 835.23

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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.