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Finding the Fourth Proportional to 919.97, 1,269.56 and 527.02

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Solution

The fourth proportional to 919.97, 1,269.56 and 527.02 is: 727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.97 : 1,269.56 = 527.02 : x
  2. Step 2: Convert to fraction form
    919.97/1,269.56 = 527.02/x
  3. Step 3: Cross multiply
    919.97x = 1,269.56 × 527.02
  4. Step 4: Simplify right side
    919.97x = 669,081.65
  5. Step 5: Solve for x
    x = 669,081.65/919.97
  6. Step 6: Final answer
    x = 727.29

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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.