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Finding the Fourth Proportional to 828.88, 1,242.29 and 417.79

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Solution

The fourth proportional to 828.88, 1,242.29 and 417.79 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.88 : 1,242.29 = 417.79 : x
  2. Step 2: Convert to fraction form
    828.88/1,242.29 = 417.79/x
  3. Step 3: Cross multiply
    828.88x = 1,242.29 × 417.79
  4. Step 4: Simplify right side
    828.88x = 519,011.14
  5. Step 5: Solve for x
    x = 519,011.14/828.88
  6. Step 6: Final answer
    x = 626.16

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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.