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Finding the Fourth Proportional to 828.79, 1,242.66 and 504.37

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Solution

The fourth proportional to 828.79, 1,242.66 and 504.37 is: 756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.79 : 1,242.66 = 504.37 : x
  2. Step 2: Convert to fraction form
    828.79/1,242.66 = 504.37/x
  3. Step 3: Cross multiply
    828.79x = 1,242.66 × 504.37
  4. Step 4: Simplify right side
    828.79x = 626,760.42
  5. Step 5: Solve for x
    x = 626,760.42/828.79
  6. Step 6: Final answer
    x = 756.24

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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.