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Finding the Fourth Proportional to 920.22, 1,269.84 and 527.23

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Solution

The fourth proportional to 920.22, 1,269.84 and 527.23 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.22 : 1,269.84 = 527.23 : x
  2. Step 2: Convert to fraction form
    920.22/1,269.84 = 527.23/x
  3. Step 3: Cross multiply
    920.22x = 1,269.84 × 527.23
  4. Step 4: Simplify right side
    920.22x = 669,497.74
  5. Step 5: Solve for x
    x = 669,497.74/920.22
  6. Step 6: Final answer
    x = 727.54

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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.