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Finding the Fourth Proportional to 1,213.49, 1,820.49 and 693.73

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Solution

The fourth proportional to 1,213.49, 1,820.49 and 693.73 is: 1,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.49 : 1,820.49 = 693.73 : x
  2. Step 2: Convert to fraction form
    1,213.49/1,820.49 = 693.73/x
  3. Step 3: Cross multiply
    1,213.49x = 1,820.49 × 693.73
  4. Step 4: Simplify right side
    1,213.49x = 1,262,928.53
  5. Step 5: Solve for x
    x = 1,262,928.53/1,213.49
  6. Step 6: Final answer
    x = 1,040.74

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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.