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Finding the Fourth Proportional to 883.02, 1,219.14 and 621.30

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Solution

The fourth proportional to 883.02, 1,219.14 and 621.30 is: 857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,219.14 = 621.30 : x
  2. Step 2: Convert to fraction form
    883.02/1,219.14 = 621.30/x
  3. Step 3: Cross multiply
    883.02x = 1,219.14 × 621.30
  4. Step 4: Simplify right side
    883.02x = 757,451.68
  5. Step 5: Solve for x
    x = 757,451.68/883.02
  6. Step 6: Final answer
    x = 857.80

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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.