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Finding the Fourth Proportional to 1,421.49, 1,961.60 and 832.08

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Solution

The fourth proportional to 1,421.49, 1,961.60 and 832.08 is: 1,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.49 : 1,961.60 = 832.08 : x
  2. Step 2: Convert to fraction form
    1,421.49/1,961.60 = 832.08/x
  3. Step 3: Cross multiply
    1,421.49x = 1,961.60 × 832.08
  4. Step 4: Simplify right side
    1,421.49x = 1,632,203.97
  5. Step 5: Solve for x
    x = 1,632,203.97/1,421.49
  6. Step 6: Final answer
    x = 1,148.23

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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.