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Finding the Fourth Proportional to 874.54, 1,310.46 and 509.50

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Solution

The fourth proportional to 874.54, 1,310.46 and 509.50 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.54 : 1,310.46 = 509.50 : x
  2. Step 2: Convert to fraction form
    874.54/1,310.46 = 509.50/x
  3. Step 3: Cross multiply
    874.54x = 1,310.46 × 509.50
  4. Step 4: Simplify right side
    874.54x = 667,679.37
  5. Step 5: Solve for x
    x = 667,679.37/874.54
  6. Step 6: Final answer
    x = 763.46

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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.