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Finding the Fourth Proportional to 676.02, 1,013.52 and 416.07

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Solution

The fourth proportional to 676.02, 1,013.52 and 416.07 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 1,013.52 = 416.07 : x
  2. Step 2: Convert to fraction form
    676.02/1,013.52 = 416.07/x
  3. Step 3: Cross multiply
    676.02x = 1,013.52 × 416.07
  4. Step 4: Simplify right side
    676.02x = 421,695.27
  5. Step 5: Solve for x
    x = 421,695.27/676.02
  6. Step 6: Final answer
    x = 623.79

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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.