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Finding the Fourth Proportional to 1,308.91, 1,806.28 and 778.15

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Solution

The fourth proportional to 1,308.91, 1,806.28 and 778.15 is: 1,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.91 : 1,806.28 = 778.15 : x
  2. Step 2: Convert to fraction form
    1,308.91/1,806.28 = 778.15/x
  3. Step 3: Cross multiply
    1,308.91x = 1,806.28 × 778.15
  4. Step 4: Simplify right side
    1,308.91x = 1,405,556.78
  5. Step 5: Solve for x
    x = 1,405,556.78/1,308.91
  6. Step 6: Final answer
    x = 1,073.84

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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.