Home / 1,323.12-1,984.26-457.32

Finding the Fourth Proportional to 1,323.12, 1,984.26 and 457.32

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Solution

The fourth proportional to 1,323.12, 1,984.26 and 457.32 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.12 : 1,984.26 = 457.32 : x
  2. Step 2: Convert to fraction form
    1,323.12/1,984.26 = 457.32/x
  3. Step 3: Cross multiply
    1,323.12x = 1,984.26 × 457.32
  4. Step 4: Simplify right side
    1,323.12x = 907,441.78
  5. Step 5: Solve for x
    x = 907,441.78/1,323.12
  6. Step 6: Final answer
    x = 685.83

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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.