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Finding the Fourth Proportional to 828.95, 1,143.79 and 492.85

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Solution

The fourth proportional to 828.95, 1,143.79 and 492.85 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.95 : 1,143.79 = 492.85 : x
  2. Step 2: Convert to fraction form
    828.95/1,143.79 = 492.85/x
  3. Step 3: Cross multiply
    828.95x = 1,143.79 × 492.85
  4. Step 4: Simplify right side
    828.95x = 563,712.81
  5. Step 5: Solve for x
    x = 563,712.81/828.95
  6. Step 6: Final answer
    x = 680.03

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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.