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Finding the Fourth Proportional to 920.48, 1,269.97 and 527.43

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Solution

The fourth proportional to 920.48, 1,269.97 and 527.43 is: 727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.48 : 1,269.97 = 527.43 : x
  2. Step 2: Convert to fraction form
    920.48/1,269.97 = 527.43/x
  3. Step 3: Cross multiply
    920.48x = 1,269.97 × 527.43
  4. Step 4: Simplify right side
    920.48x = 669,820.28
  5. Step 5: Solve for x
    x = 669,820.28/920.48
  6. Step 6: Final answer
    x = 727.69

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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.