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Finding the Fourth Proportional to 1,302.67, 1,796.34 and 778.60

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Solution

The fourth proportional to 1,302.67, 1,796.34 and 778.60 is: 1,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.67 : 1,796.34 = 778.60 : x
  2. Step 2: Convert to fraction form
    1,302.67/1,796.34 = 778.60/x
  3. Step 3: Cross multiply
    1,302.67x = 1,796.34 × 778.60
  4. Step 4: Simplify right side
    1,302.67x = 1,398,630.32
  5. Step 5: Solve for x
    x = 1,398,630.32/1,302.67
  6. Step 6: Final answer
    x = 1,073.66

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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.