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Finding the Fourth Proportional to 920.80, 1,270.76 and 527.82

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Solution

The fourth proportional to 920.80, 1,270.76 and 527.82 is: 728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.80 : 1,270.76 = 527.82 : x
  2. Step 2: Convert to fraction form
    920.80/1,270.76 = 527.82/x
  3. Step 3: Cross multiply
    920.80x = 1,270.76 × 527.82
  4. Step 4: Simplify right side
    920.80x = 670,732.54
  5. Step 5: Solve for x
    x = 670,732.54/920.80
  6. Step 6: Final answer
    x = 728.42

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1.5x scale

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.