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Finding the Fourth Proportional to 693.74, 1,040.76 and 231.48

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Solution

The fourth proportional to 693.74, 1,040.76 and 231.48 is: 347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.74 : 1,040.76 = 231.48 : x
  2. Step 2: Convert to fraction form
    693.74/1,040.76 = 231.48/x
  3. Step 3: Cross multiply
    693.74x = 1,040.76 × 231.48
  4. Step 4: Simplify right side
    693.74x = 240,915.12
  5. Step 5: Solve for x
    x = 240,915.12/693.74
  6. Step 6: Final answer
    x = 347.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.