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Finding the Fourth Proportional to 1,431.60, 1,975.92 and 842.48

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Solution

The fourth proportional to 1,431.60, 1,975.92 and 842.48 is: 1,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.60 : 1,975.92 = 842.48 : x
  2. Step 2: Convert to fraction form
    1,431.60/1,975.92 = 842.48/x
  3. Step 3: Cross multiply
    1,431.60x = 1,975.92 × 842.48
  4. Step 4: Simplify right side
    1,431.60x = 1,664,673.08
  5. Step 5: Solve for x
    x = 1,664,673.08/1,431.60
  6. Step 6: Final answer
    x = 1,162.81

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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.