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Finding the Fourth Proportional to 841.42, 1,161.07 and 492.31

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Solution

The fourth proportional to 841.42, 1,161.07 and 492.31 is: 679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.42 : 1,161.07 = 492.31 : x
  2. Step 2: Convert to fraction form
    841.42/1,161.07 = 492.31/x
  3. Step 3: Cross multiply
    841.42x = 1,161.07 × 492.31
  4. Step 4: Simplify right side
    841.42x = 571,606.37
  5. Step 5: Solve for x
    x = 571,606.37/841.42
  6. Step 6: Final answer
    x = 679.34

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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.