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Finding the Fourth Proportional to 828.19, 1,143.06 and 492.17

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Solution

The fourth proportional to 828.19, 1,143.06 and 492.17 is: 679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.19 : 1,143.06 = 492.17 : x
  2. Step 2: Convert to fraction form
    828.19/1,143.06 = 492.17/x
  3. Step 3: Cross multiply
    828.19x = 1,143.06 × 492.17
  4. Step 4: Simplify right side
    828.19x = 562,579.84
  5. Step 5: Solve for x
    x = 562,579.84/828.19
  6. Step 6: Final answer
    x = 679.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.