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Finding the Fourth Proportional to 1,306.71, 1,800.63 and 1,028.07

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Solution

The fourth proportional to 1,306.71, 1,800.63 and 1,028.07 is: 1,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.71 : 1,800.63 = 1,028.07 : x
  2. Step 2: Convert to fraction form
    1,306.71/1,800.63 = 1,028.07/x
  3. Step 3: Cross multiply
    1,306.71x = 1,800.63 × 1,028.07
  4. Step 4: Simplify right side
    1,306.71x = 1,851,173.68
  5. Step 5: Solve for x
    x = 1,851,173.68/1,306.71
  6. Step 6: Final answer
    x = 1,416.67

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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.