Home / 1,022.48-1,533.63-406.03

Finding the Fourth Proportional to 1,022.48, 1,533.63 and 406.03

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Solution

The fourth proportional to 1,022.48, 1,533.63 and 406.03 is: 609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.48 : 1,533.63 = 406.03 : x
  2. Step 2: Convert to fraction form
    1,022.48/1,533.63 = 406.03/x
  3. Step 3: Cross multiply
    1,022.48x = 1,533.63 × 406.03
  4. Step 4: Simplify right side
    1,022.48x = 622,699.79
  5. Step 5: Solve for x
    x = 622,699.79/1,022.48
  6. Step 6: Final answer
    x = 609.01

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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.