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Finding the Fourth Proportional to 1,457.99, 2,012.02 and 794.84

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Solution

The fourth proportional to 1,457.99, 2,012.02 and 794.84 is: 1,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.99 : 2,012.02 = 794.84 : x
  2. Step 2: Convert to fraction form
    1,457.99/2,012.02 = 794.84/x
  3. Step 3: Cross multiply
    1,457.99x = 2,012.02 × 794.84
  4. Step 4: Simplify right side
    1,457.99x = 1,599,233.98
  5. Step 5: Solve for x
    x = 1,599,233.98/1,457.99
  6. Step 6: Final answer
    x = 1,096.88

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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.