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Finding the Fourth Proportional to 1,242.54, 1,713.60 and 1,033.02

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Solution

The fourth proportional to 1,242.54, 1,713.60 and 1,033.02 is: 1,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.54 : 1,713.60 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    1,242.54/1,713.60 = 1,033.02/x
  3. Step 3: Cross multiply
    1,242.54x = 1,713.60 × 1,033.02
  4. Step 4: Simplify right side
    1,242.54x = 1,770,183.07
  5. Step 5: Solve for x
    x = 1,770,183.07/1,242.54
  6. Step 6: Final answer
    x = 1,424.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.