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Finding the Fourth Proportional to 883.56, 1,219.28 and 510.56

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Solution

The fourth proportional to 883.56, 1,219.28 and 510.56 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.56 : 1,219.28 = 510.56 : x
  2. Step 2: Convert to fraction form
    883.56/1,219.28 = 510.56/x
  3. Step 3: Cross multiply
    883.56x = 1,219.28 × 510.56
  4. Step 4: Simplify right side
    883.56x = 622,515.60
  5. Step 5: Solve for x
    x = 622,515.60/883.56
  6. Step 6: Final answer
    x = 704.55

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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.