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Finding the Fourth Proportional to 883.74, 1,219.38 and 510.63

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Solution

The fourth proportional to 883.74, 1,219.38 and 510.63 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,219.38 = 510.63 : x
  2. Step 2: Convert to fraction form
    883.74/1,219.38 = 510.63/x
  3. Step 3: Cross multiply
    883.74x = 1,219.38 × 510.63
  4. Step 4: Simplify right side
    883.74x = 622,652.01
  5. Step 5: Solve for x
    x = 622,652.01/883.74
  6. Step 6: Final answer
    x = 704.56

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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.