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Finding the Fourth Proportional to 843.09, 1,162.51 and 618

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Solution

The fourth proportional to 843.09, 1,162.51 and 618 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,162.51 = 618 : x
  2. Step 2: Convert to fraction form
    843.09/1,162.51 = 618/x
  3. Step 3: Cross multiply
    843.09x = 1,162.51 × 618
  4. Step 4: Simplify right side
    843.09x = 718,431.18
  5. Step 5: Solve for x
    x = 718,431.18/843.09
  6. Step 6: Final answer
    x = 852.14

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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.