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Finding the Fourth Proportional to 883.53, 1,219.25 and 510.50

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Solution

The fourth proportional to 883.53, 1,219.25 and 510.50 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.53 : 1,219.25 = 510.50 : x
  2. Step 2: Convert to fraction form
    883.53/1,219.25 = 510.50/x
  3. Step 3: Cross multiply
    883.53x = 1,219.25 × 510.50
  4. Step 4: Simplify right side
    883.53x = 622,431.45
  5. Step 5: Solve for x
    x = 622,431.45/883.53
  6. Step 6: Final answer
    x = 704.48

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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.