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Finding the Fourth Proportional to 846.26, 1,168 and 824.06

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Solution

The fourth proportional to 846.26, 1,168 and 824.06 is: 1,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.26 : 1,168 = 824.06 : x
  2. Step 2: Convert to fraction form
    846.26/1,168 = 824.06/x
  3. Step 3: Cross multiply
    846.26x = 1,168 × 824.06
  4. Step 4: Simplify right side
    846.26x = 962,502.08
  5. Step 5: Solve for x
    x = 962,502.08/846.26
  6. Step 6: Final answer
    x = 1,137.36

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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.