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Finding the Fourth Proportional to 828.34, 1,143.03 and 608.25

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Solution

The fourth proportional to 828.34, 1,143.03 and 608.25 is: 839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,143.03 = 608.25 : x
  2. Step 2: Convert to fraction form
    828.34/1,143.03 = 608.25/x
  3. Step 3: Cross multiply
    828.34x = 1,143.03 × 608.25
  4. Step 4: Simplify right side
    828.34x = 695,248.00
  5. Step 5: Solve for x
    x = 695,248.00/828.34
  6. Step 6: Final answer
    x = 839.33

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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.