Home / 1,146.21-1,717.78-415.08

Finding the Fourth Proportional to 1,146.21, 1,717.78 and 415.08

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Solution

The fourth proportional to 1,146.21, 1,717.78 and 415.08 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.21 : 1,717.78 = 415.08 : x
  2. Step 2: Convert to fraction form
    1,146.21/1,717.78 = 415.08/x
  3. Step 3: Cross multiply
    1,146.21x = 1,717.78 × 415.08
  4. Step 4: Simplify right side
    1,146.21x = 713,016.12
  5. Step 5: Solve for x
    x = 713,016.12/1,146.21
  6. Step 6: Final answer
    x = 622.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.