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Finding the Fourth Proportional to 919.92, 1,269.62 and 589.13

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Solution

The fourth proportional to 919.92, 1,269.62 and 589.13 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.92 : 1,269.62 = 589.13 : x
  2. Step 2: Convert to fraction form
    919.92/1,269.62 = 589.13/x
  3. Step 3: Cross multiply
    919.92x = 1,269.62 × 589.13
  4. Step 4: Simplify right side
    919.92x = 747,975.79
  5. Step 5: Solve for x
    x = 747,975.79/919.92
  6. Step 6: Final answer
    x = 813.09

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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.