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Finding the Fourth Proportional to 1,314.81, 1,814.47 and 717.31

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Solution

The fourth proportional to 1,314.81, 1,814.47 and 717.31 is: 989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.81 : 1,814.47 = 717.31 : x
  2. Step 2: Convert to fraction form
    1,314.81/1,814.47 = 717.31/x
  3. Step 3: Cross multiply
    1,314.81x = 1,814.47 × 717.31
  4. Step 4: Simplify right side
    1,314.81x = 1,301,548.10
  5. Step 5: Solve for x
    x = 1,301,548.10/1,314.81
  6. Step 6: Final answer
    x = 989.91

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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.