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Finding the Fourth Proportional to 676.56, 1,012.50 and 416.46

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Solution

The fourth proportional to 676.56, 1,012.50 and 416.46 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.56 : 1,012.50 = 416.46 : x
  2. Step 2: Convert to fraction form
    676.56/1,012.50 = 416.46/x
  3. Step 3: Cross multiply
    676.56x = 1,012.50 × 416.46
  4. Step 4: Simplify right side
    676.56x = 421,665.75
  5. Step 5: Solve for x
    x = 421,665.75/676.56
  6. Step 6: Final answer
    x = 623.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.