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Finding the Fourth Proportional to 883.26, 1,219.07 and 510.24

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Solution

The fourth proportional to 883.26, 1,219.07 and 510.24 is: 704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.26 : 1,219.07 = 510.24 : x
  2. Step 2: Convert to fraction form
    883.26/1,219.07 = 510.24/x
  3. Step 3: Cross multiply
    883.26x = 1,219.07 × 510.24
  4. Step 4: Simplify right side
    883.26x = 622,015.73
  5. Step 5: Solve for x
    x = 622,015.73/883.26
  6. Step 6: Final answer
    x = 704.23

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1.5x scale

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.