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Finding the Fourth Proportional to 746.83, 1,029.90 and 448.03

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Solution

The fourth proportional to 746.83, 1,029.90 and 448.03 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,029.90 = 448.03 : x
  2. Step 2: Convert to fraction form
    746.83/1,029.90 = 448.03/x
  3. Step 3: Cross multiply
    746.83x = 1,029.90 × 448.03
  4. Step 4: Simplify right side
    746.83x = 461,423.27
  5. Step 5: Solve for x
    x = 461,423.27/746.83
  6. Step 6: Final answer
    x = 617.85

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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.