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Finding the Fourth Proportional to 1,313.05, 1,800.25 and 1,289.66

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Solution

The fourth proportional to 1,313.05, 1,800.25 and 1,289.66 is: 1,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.05 : 1,800.25 = 1,289.66 : x
  2. Step 2: Convert to fraction form
    1,313.05/1,800.25 = 1,289.66/x
  3. Step 3: Cross multiply
    1,313.05x = 1,800.25 × 1,289.66
  4. Step 4: Simplify right side
    1,313.05x = 2,321,710.42
  5. Step 5: Solve for x
    x = 2,321,710.42/1,313.05
  6. Step 6: Final answer
    x = 1,768.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.