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Finding the Fourth Proportional to 745.90, 1,029.19 and 447.06

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Solution

The fourth proportional to 745.90, 1,029.19 and 447.06 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.90 : 1,029.19 = 447.06 : x
  2. Step 2: Convert to fraction form
    745.90/1,029.19 = 447.06/x
  3. Step 3: Cross multiply
    745.90x = 1,029.19 × 447.06
  4. Step 4: Simplify right side
    745.90x = 460,109.68
  5. Step 5: Solve for x
    x = 460,109.68/745.90
  6. Step 6: Final answer
    x = 616.85

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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.