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Finding the Fourth Proportional to 841.89, 1,161.63 and 492.42

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Solution

The fourth proportional to 841.89, 1,161.63 and 492.42 is: 679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.89 : 1,161.63 = 492.42 : x
  2. Step 2: Convert to fraction form
    841.89/1,161.63 = 492.42/x
  3. Step 3: Cross multiply
    841.89x = 1,161.63 × 492.42
  4. Step 4: Simplify right side
    841.89x = 572,009.84
  5. Step 5: Solve for x
    x = 572,009.84/841.89
  6. Step 6: Final answer
    x = 679.44

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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.