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Finding the Fourth Proportional to 884.13, 1,219.83 and 511.13

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Solution

The fourth proportional to 884.13, 1,219.83 and 511.13 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.13 : 1,219.83 = 511.13 : x
  2. Step 2: Convert to fraction form
    884.13/1,219.83 = 511.13/x
  3. Step 3: Cross multiply
    884.13x = 1,219.83 × 511.13
  4. Step 4: Simplify right side
    884.13x = 623,485.61
  5. Step 5: Solve for x
    x = 623,485.61/884.13
  6. Step 6: Final answer
    x = 705.20

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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.