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Finding the Fourth Proportional to 746.21, 1,029.78 and 414.65

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Solution

The fourth proportional to 746.21, 1,029.78 and 414.65 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.21 : 1,029.78 = 414.65 : x
  2. Step 2: Convert to fraction form
    746.21/1,029.78 = 414.65/x
  3. Step 3: Cross multiply
    746.21x = 1,029.78 × 414.65
  4. Step 4: Simplify right side
    746.21x = 427,000.85
  5. Step 5: Solve for x
    x = 427,000.85/746.21
  6. Step 6: Final answer
    x = 572.22

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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.