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Finding the Fourth Proportional to 828.28, 1,241.70 and 417.07

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Solution

The fourth proportional to 828.28, 1,241.70 and 417.07 is: 625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.28 : 1,241.70 = 417.07 : x
  2. Step 2: Convert to fraction form
    828.28/1,241.70 = 417.07/x
  3. Step 3: Cross multiply
    828.28x = 1,241.70 × 417.07
  4. Step 4: Simplify right side
    828.28x = 517,875.82
  5. Step 5: Solve for x
    x = 517,875.82/828.28
  6. Step 6: Final answer
    x = 625.24

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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.