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Finding the Fourth Proportional to 857.49, 1,183.35 and 484.50

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Solution

The fourth proportional to 857.49, 1,183.35 and 484.50 is: 668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,183.35 = 484.50 : x
  2. Step 2: Convert to fraction form
    857.49/1,183.35 = 484.50/x
  3. Step 3: Cross multiply
    857.49x = 1,183.35 × 484.50
  4. Step 4: Simplify right side
    857.49x = 573,333.08
  5. Step 5: Solve for x
    x = 573,333.08/857.49
  6. Step 6: Final answer
    x = 668.62

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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.