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Finding the Fourth Proportional to 898.56, 1,238.52 and 618.32

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Solution

The fourth proportional to 898.56, 1,238.52 and 618.32 is: 852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,238.52 = 618.32 : x
  2. Step 2: Convert to fraction form
    898.56/1,238.52 = 618.32/x
  3. Step 3: Cross multiply
    898.56x = 1,238.52 × 618.32
  4. Step 4: Simplify right side
    898.56x = 765,801.69
  5. Step 5: Solve for x
    x = 765,801.69/898.56
  6. Step 6: Final answer
    x = 852.25

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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.