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Finding the Fourth Proportional to 681.82, 942.19 and 557.44

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Solution

The fourth proportional to 681.82, 942.19 and 557.44 is: 770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 942.19 = 557.44 : x
  2. Step 2: Convert to fraction form
    681.82/942.19 = 557.44/x
  3. Step 3: Cross multiply
    681.82x = 942.19 × 557.44
  4. Step 4: Simplify right side
    681.82x = 525,209.68
  5. Step 5: Solve for x
    x = 525,209.68/681.82
  6. Step 6: Final answer
    x = 770.31

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1.5x scale

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.