Home / 1,322.13-1,983.38-456.51

Finding the Fourth Proportional to 1,322.13, 1,983.38 and 456.51

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Solution

The fourth proportional to 1,322.13, 1,983.38 and 456.51 is: 684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.13 : 1,983.38 = 456.51 : x
  2. Step 2: Convert to fraction form
    1,322.13/1,983.38 = 456.51/x
  3. Step 3: Cross multiply
    1,322.13x = 1,983.38 × 456.51
  4. Step 4: Simplify right side
    1,322.13x = 905,430.52
  5. Step 5: Solve for x
    x = 905,430.52/1,322.13
  6. Step 6: Final answer
    x = 684.83

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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.