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Finding the Fourth Proportional to 828.99, 1,144.08 and 479.76

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Solution

The fourth proportional to 828.99, 1,144.08 and 479.76 is: 662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,144.08 = 479.76 : x
  2. Step 2: Convert to fraction form
    828.99/1,144.08 = 479.76/x
  3. Step 3: Cross multiply
    828.99x = 1,144.08 × 479.76
  4. Step 4: Simplify right side
    828.99x = 548,883.82
  5. Step 5: Solve for x
    x = 548,883.82/828.99
  6. Step 6: Final answer
    x = 662.11

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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.