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Finding the Fourth Proportional to 842.71, 1,162.36 and 773

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Solution

The fourth proportional to 842.71, 1,162.36 and 773 is: 1,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.71 : 1,162.36 = 773 : x
  2. Step 2: Convert to fraction form
    842.71/1,162.36 = 773/x
  3. Step 3: Cross multiply
    842.71x = 1,162.36 × 773
  4. Step 4: Simplify right side
    842.71x = 898,504.28
  5. Step 5: Solve for x
    x = 898,504.28/842.71
  6. Step 6: Final answer
    x = 1,066.21

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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.