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Finding the Fourth Proportional to 746.54, 1,029.02 and 588.90

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Solution

The fourth proportional to 746.54, 1,029.02 and 588.90 is: 811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.54 : 1,029.02 = 588.90 : x
  2. Step 2: Convert to fraction form
    746.54/1,029.02 = 588.90/x
  3. Step 3: Cross multiply
    746.54x = 1,029.02 × 588.90
  4. Step 4: Simplify right side
    746.54x = 605,989.88
  5. Step 5: Solve for x
    x = 605,989.88/746.54
  6. Step 6: Final answer
    x = 811.73

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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.