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Finding the Fourth Proportional to 1,457.82, 2,011.73 and 794.61

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Solution

The fourth proportional to 1,457.82, 2,011.73 and 794.61 is: 1,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.82 : 2,011.73 = 794.61 : x
  2. Step 2: Convert to fraction form
    1,457.82/2,011.73 = 794.61/x
  3. Step 3: Cross multiply
    1,457.82x = 2,011.73 × 794.61
  4. Step 4: Simplify right side
    1,457.82x = 1,598,536.80
  5. Step 5: Solve for x
    x = 1,598,536.80/1,457.82
  6. Step 6: Final answer
    x = 1,096.53

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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.