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Finding the Fourth Proportional to 746.04, 1,028.33 and 588.41

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Solution

The fourth proportional to 746.04, 1,028.33 and 588.41 is: 811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,028.33 = 588.41 : x
  2. Step 2: Convert to fraction form
    746.04/1,028.33 = 588.41/x
  3. Step 3: Cross multiply
    746.04x = 1,028.33 × 588.41
  4. Step 4: Simplify right side
    746.04x = 605,074.51
  5. Step 5: Solve for x
    x = 605,074.51/746.04
  6. Step 6: Final answer
    x = 811.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.