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Finding the Fourth Proportional to 1,418.49, 2,127.29 and 725.94

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Solution

The fourth proportional to 1,418.49, 2,127.29 and 725.94 is: 1,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.49 : 2,127.29 = 725.94 : x
  2. Step 2: Convert to fraction form
    1,418.49/2,127.29 = 725.94/x
  3. Step 3: Cross multiply
    1,418.49x = 2,127.29 × 725.94
  4. Step 4: Simplify right side
    1,418.49x = 1,544,281.27
  5. Step 5: Solve for x
    x = 1,544,281.27/1,418.49
  6. Step 6: Final answer
    x = 1,088.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.