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Finding the Fourth Proportional to 920.50, 1,270.26 and 527.44

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Solution

The fourth proportional to 920.50, 1,270.26 and 527.44 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,270.26 = 527.44 : x
  2. Step 2: Convert to fraction form
    920.50/1,270.26 = 527.44/x
  3. Step 3: Cross multiply
    920.50x = 1,270.26 × 527.44
  4. Step 4: Simplify right side
    920.50x = 669,985.93
  5. Step 5: Solve for x
    x = 669,985.93/920.50
  6. Step 6: Final answer
    x = 727.85

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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.