Home / 1,226.62-1,693.36-946.22

Finding the Fourth Proportional to 1,226.62, 1,693.36 and 946.22

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Solution

The fourth proportional to 1,226.62, 1,693.36 and 946.22 is: 1,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.62 : 1,693.36 = 946.22 : x
  2. Step 2: Convert to fraction form
    1,226.62/1,693.36 = 946.22/x
  3. Step 3: Cross multiply
    1,226.62x = 1,693.36 × 946.22
  4. Step 4: Simplify right side
    1,226.62x = 1,602,292.97
  5. Step 5: Solve for x
    x = 1,602,292.97/1,226.62
  6. Step 6: Final answer
    x = 1,306.27

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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.