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Finding the Fourth Proportional to 1,457.33, 2,011.11 and 827.85

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Solution

The fourth proportional to 1,457.33, 2,011.11 and 827.85 is: 1,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.33 : 2,011.11 = 827.85 : x
  2. Step 2: Convert to fraction form
    1,457.33/2,011.11 = 827.85/x
  3. Step 3: Cross multiply
    1,457.33x = 2,011.11 × 827.85
  4. Step 4: Simplify right side
    1,457.33x = 1,664,897.41
  5. Step 5: Solve for x
    x = 1,664,897.41/1,457.33
  6. Step 6: Final answer
    x = 1,142.43

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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.