Home / 1,323.32-1,983.48-456.92

Finding the Fourth Proportional to 1,323.32, 1,983.48 and 456.92

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Solution

The fourth proportional to 1,323.32, 1,983.48 and 456.92 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.32 : 1,983.48 = 456.92 : x
  2. Step 2: Convert to fraction form
    1,323.32/1,983.48 = 456.92/x
  3. Step 3: Cross multiply
    1,323.32x = 1,983.48 × 456.92
  4. Step 4: Simplify right side
    1,323.32x = 906,291.68
  5. Step 5: Solve for x
    x = 906,291.68/1,323.32
  6. Step 6: Final answer
    x = 684.86

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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.