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Finding the Fourth Proportional to 841.08, 1,161.24 and 694.08

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Solution

The fourth proportional to 841.08, 1,161.24 and 694.08 is: 958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.08 : 1,161.24 = 694.08 : x
  2. Step 2: Convert to fraction form
    841.08/1,161.24 = 694.08/x
  3. Step 3: Cross multiply
    841.08x = 1,161.24 × 694.08
  4. Step 4: Simplify right side
    841.08x = 805,993.46
  5. Step 5: Solve for x
    x = 805,993.46/841.08
  6. Step 6: Final answer
    x = 958.28

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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.