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Finding the Fourth Proportional to 1,402.29, 1,934.66 and 842.33

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Solution

The fourth proportional to 1,402.29, 1,934.66 and 842.33 is: 1,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.29 : 1,934.66 = 842.33 : x
  2. Step 2: Convert to fraction form
    1,402.29/1,934.66 = 842.33/x
  3. Step 3: Cross multiply
    1,402.29x = 1,934.66 × 842.33
  4. Step 4: Simplify right side
    1,402.29x = 1,629,629.10
  5. Step 5: Solve for x
    x = 1,629,629.10/1,402.29
  6. Step 6: Final answer
    x = 1,162.12

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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.