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Finding the Fourth Proportional to 919.61, 1,269.48 and 588.49

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Solution

The fourth proportional to 919.61, 1,269.48 and 588.49 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.61 : 1,269.48 = 588.49 : x
  2. Step 2: Convert to fraction form
    919.61/1,269.48 = 588.49/x
  3. Step 3: Cross multiply
    919.61x = 1,269.48 × 588.49
  4. Step 4: Simplify right side
    919.61x = 747,069.94
  5. Step 5: Solve for x
    x = 747,069.94/919.61
  6. Step 6: Final answer
    x = 812.38

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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.