Home / 1,323.06-1,984.77-457.17

Finding the Fourth Proportional to 1,323.06, 1,984.77 and 457.17

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Solution

The fourth proportional to 1,323.06, 1,984.77 and 457.17 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.06 : 1,984.77 = 457.17 : x
  2. Step 2: Convert to fraction form
    1,323.06/1,984.77 = 457.17/x
  3. Step 3: Cross multiply
    1,323.06x = 1,984.77 × 457.17
  4. Step 4: Simplify right side
    1,323.06x = 907,377.30
  5. Step 5: Solve for x
    x = 907,377.30/1,323.06
  6. Step 6: Final answer
    x = 685.82

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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.