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Finding the Fourth Proportional to 1,444.33, 1,992.95 and 814.81

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Solution

The fourth proportional to 1,444.33, 1,992.95 and 814.81 is: 1,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.33 : 1,992.95 = 814.81 : x
  2. Step 2: Convert to fraction form
    1,444.33/1,992.95 = 814.81/x
  3. Step 3: Cross multiply
    1,444.33x = 1,992.95 × 814.81
  4. Step 4: Simplify right side
    1,444.33x = 1,623,877.91
  5. Step 5: Solve for x
    x = 1,623,877.91/1,444.33
  6. Step 6: Final answer
    x = 1,124.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.