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Finding the Fourth Proportional to 1,314.97, 1,814.64 and 725.49

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Solution

The fourth proportional to 1,314.97, 1,814.64 and 725.49 is: 1,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,814.64 = 725.49 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,814.64 = 725.49/x
  3. Step 3: Cross multiply
    1,314.97x = 1,814.64 × 725.49
  4. Step 4: Simplify right side
    1,314.97x = 1,316,500.45
  5. Step 5: Solve for x
    x = 1,316,500.45/1,314.97
  6. Step 6: Final answer
    x = 1,001.17

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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.