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Finding the Fourth Proportional to 1,402.26, 1,935.04 and 842.61

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Solution

The fourth proportional to 1,402.26, 1,935.04 and 842.61 is: 1,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.26 : 1,935.04 = 842.61 : x
  2. Step 2: Convert to fraction form
    1,402.26/1,935.04 = 842.61/x
  3. Step 3: Cross multiply
    1,402.26x = 1,935.04 × 842.61
  4. Step 4: Simplify right side
    1,402.26x = 1,630,484.05
  5. Step 5: Solve for x
    x = 1,630,484.05/1,402.26
  6. Step 6: Final answer
    x = 1,162.75

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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.