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Finding the Fourth Proportional to 746.40, 1,029.42 and 484.68

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Solution

The fourth proportional to 746.40, 1,029.42 and 484.68 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.40 : 1,029.42 = 484.68 : x
  2. Step 2: Convert to fraction form
    746.40/1,029.42 = 484.68/x
  3. Step 3: Cross multiply
    746.40x = 1,029.42 × 484.68
  4. Step 4: Simplify right side
    746.40x = 498,939.29
  5. Step 5: Solve for x
    x = 498,939.29/746.40
  6. Step 6: Final answer
    x = 668.46

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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.