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Finding the Fourth Proportional to 745.83, 1,029.74 and 484.23

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Solution

The fourth proportional to 745.83, 1,029.74 and 484.23 is: 668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.83 : 1,029.74 = 484.23 : x
  2. Step 2: Convert to fraction form
    745.83/1,029.74 = 484.23/x
  3. Step 3: Cross multiply
    745.83x = 1,029.74 × 484.23
  4. Step 4: Simplify right side
    745.83x = 498,628.58
  5. Step 5: Solve for x
    x = 498,628.58/745.83
  6. Step 6: Final answer
    x = 668.56

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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.