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Finding the Fourth Proportional to 1,314.89, 1,814.02 and 817.75

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Solution

The fourth proportional to 1,314.89, 1,814.02 and 817.75 is: 1,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.89 : 1,814.02 = 817.75 : x
  2. Step 2: Convert to fraction form
    1,314.89/1,814.02 = 817.75/x
  3. Step 3: Cross multiply
    1,314.89x = 1,814.02 × 817.75
  4. Step 4: Simplify right side
    1,314.89x = 1,483,414.86
  5. Step 5: Solve for x
    x = 1,483,414.86/1,314.89
  6. Step 6: Final answer
    x = 1,128.17

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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.