Home / 1,261.27-1,740.46-730.16

Finding the Fourth Proportional to 1,261.27, 1,740.46 and 730.16

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Solution

The fourth proportional to 1,261.27, 1,740.46 and 730.16 is: 1,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.27 : 1,740.46 = 730.16 : x
  2. Step 2: Convert to fraction form
    1,261.27/1,740.46 = 730.16/x
  3. Step 3: Cross multiply
    1,261.27x = 1,740.46 × 730.16
  4. Step 4: Simplify right side
    1,261.27x = 1,270,801.92
  5. Step 5: Solve for x
    x = 1,270,801.92/1,261.27
  6. Step 6: Final answer
    x = 1,007.56

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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.