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Finding the Fourth Proportional to 894.68, 1,348.73 and 835.22

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Solution

The fourth proportional to 894.68, 1,348.73 and 835.22 is: 1,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.68 : 1,348.73 = 835.22 : x
  2. Step 2: Convert to fraction form
    894.68/1,348.73 = 835.22/x
  3. Step 3: Cross multiply
    894.68x = 1,348.73 × 835.22
  4. Step 4: Simplify right side
    894.68x = 1,126,475.35
  5. Step 5: Solve for x
    x = 1,126,475.35/894.68
  6. Step 6: Final answer
    x = 1,259.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.