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Finding the Fourth Proportional to 828.06, 1,142.73 and 517.50

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Solution

The fourth proportional to 828.06, 1,142.73 and 517.50 is: 714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.06 : 1,142.73 = 517.50 : x
  2. Step 2: Convert to fraction form
    828.06/1,142.73 = 517.50/x
  3. Step 3: Cross multiply
    828.06x = 1,142.73 × 517.50
  4. Step 4: Simplify right side
    828.06x = 591,362.78
  5. Step 5: Solve for x
    x = 591,362.78/828.06
  6. Step 6: Final answer
    x = 714.15

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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.