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Finding the Fourth Proportional to 874.65, 1,310.79 and 504.63

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Solution

The fourth proportional to 874.65, 1,310.79 and 504.63 is: 756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.65 : 1,310.79 = 504.63 : x
  2. Step 2: Convert to fraction form
    874.65/1,310.79 = 504.63/x
  3. Step 3: Cross multiply
    874.65x = 1,310.79 × 504.63
  4. Step 4: Simplify right side
    874.65x = 661,463.96
  5. Step 5: Solve for x
    x = 661,463.96/874.65
  6. Step 6: Final answer
    x = 756.26

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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.