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Finding the Fourth Proportional to 674.90, 1,013.22 and 520.94

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Solution

The fourth proportional to 674.90, 1,013.22 and 520.94 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.90 : 1,013.22 = 520.94 : x
  2. Step 2: Convert to fraction form
    674.90/1,013.22 = 520.94/x
  3. Step 3: Cross multiply
    674.90x = 1,013.22 × 520.94
  4. Step 4: Simplify right side
    674.90x = 527,826.83
  5. Step 5: Solve for x
    x = 527,826.83/674.90
  6. Step 6: Final answer
    x = 782.08

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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.