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Finding the Fourth Proportional to 1,314.59, 1,814.44 and 817.61

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Solution

The fourth proportional to 1,314.59, 1,814.44 and 817.61 is: 1,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.59 : 1,814.44 = 817.61 : x
  2. Step 2: Convert to fraction form
    1,314.59/1,814.44 = 817.61/x
  3. Step 3: Cross multiply
    1,314.59x = 1,814.44 × 817.61
  4. Step 4: Simplify right side
    1,314.59x = 1,483,493.17
  5. Step 5: Solve for x
    x = 1,483,493.17/1,314.59
  6. Step 6: Final answer
    x = 1,128.49

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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.