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Finding the Fourth Proportional to 919.36, 1,269.00 and 565.39

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Solution

The fourth proportional to 919.36, 1,269.00 and 565.39 is: 780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,269.00 = 565.39 : x
  2. Step 2: Convert to fraction form
    919.36/1,269.00 = 565.39/x
  3. Step 3: Cross multiply
    919.36x = 1,269.00 × 565.39
  4. Step 4: Simplify right side
    919.36x = 717,485.20
  5. Step 5: Solve for x
    x = 717,485.20/919.36
  6. Step 6: Final answer
    x = 780.42

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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.