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Finding the Fourth Proportional to 828.50, 1,242.14 and 417.42

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Solution

The fourth proportional to 828.50, 1,242.14 and 417.42 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,242.14 = 417.42 : x
  2. Step 2: Convert to fraction form
    828.50/1,242.14 = 417.42/x
  3. Step 3: Cross multiply
    828.50x = 1,242.14 × 417.42
  4. Step 4: Simplify right side
    828.50x = 518,491.99
  5. Step 5: Solve for x
    x = 518,491.99/828.50
  6. Step 6: Final answer
    x = 625.82

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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.