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Finding the Fourth Proportional to 1,314.06, 1,813.40 and 716.54

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Solution

The fourth proportional to 1,314.06, 1,813.40 and 716.54 is: 988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.06 : 1,813.40 = 716.54 : x
  2. Step 2: Convert to fraction form
    1,314.06/1,813.40 = 716.54/x
  3. Step 3: Cross multiply
    1,314.06x = 1,813.40 × 716.54
  4. Step 4: Simplify right side
    1,314.06x = 1,299,360.99
  5. Step 5: Solve for x
    x = 1,299,360.99/1,314.06
  6. Step 6: Final answer
    x = 988.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.