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Finding the Fourth Proportional to 919, 1,269.30 and 607.96

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Solution

The fourth proportional to 919, 1,269.30 and 607.96 is: 839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,269.30 = 607.96 : x
  2. Step 2: Convert to fraction form
    919/1,269.30 = 607.96/x
  3. Step 3: Cross multiply
    919x = 1,269.30 × 607.96
  4. Step 4: Simplify right side
    919x = 771,683.63
  5. Step 5: Solve for x
    x = 771,683.63/919
  6. Step 6: Final answer
    x = 839.70

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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.