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Finding the Fourth Proportional to 883.29, 1,219.02 and 510.27

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Solution

The fourth proportional to 883.29, 1,219.02 and 510.27 is: 704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.29 : 1,219.02 = 510.27 : x
  2. Step 2: Convert to fraction form
    883.29/1,219.02 = 510.27/x
  3. Step 3: Cross multiply
    883.29x = 1,219.02 × 510.27
  4. Step 4: Simplify right side
    883.29x = 622,029.34
  5. Step 5: Solve for x
    x = 622,029.34/883.29
  6. Step 6: Final answer
    x = 704.22

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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.