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Finding the Fourth Proportional to 1,302.62, 1,797.35 and 778.54

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Solution

The fourth proportional to 1,302.62, 1,797.35 and 778.54 is: 1,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.62 : 1,797.35 = 778.54 : x
  2. Step 2: Convert to fraction form
    1,302.62/1,797.35 = 778.54/x
  3. Step 3: Cross multiply
    1,302.62x = 1,797.35 × 778.54
  4. Step 4: Simplify right side
    1,302.62x = 1,399,308.87
  5. Step 5: Solve for x
    x = 1,399,308.87/1,302.62
  6. Step 6: Final answer
    x = 1,074.23

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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.