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Finding the Fourth Proportional to 746.68, 1,029.74 and 466.94

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Solution

The fourth proportional to 746.68, 1,029.74 and 466.94 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,029.74 = 466.94 : x
  2. Step 2: Convert to fraction form
    746.68/1,029.74 = 466.94/x
  3. Step 3: Cross multiply
    746.68x = 1,029.74 × 466.94
  4. Step 4: Simplify right side
    746.68x = 480,826.80
  5. Step 5: Solve for x
    x = 480,826.80/746.68
  6. Step 6: Final answer
    x = 643.95

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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.