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Finding the Fourth Proportional to 920.75, 1,270.64 and 610.25

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Solution

The fourth proportional to 920.75, 1,270.64 and 610.25 is: 842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.75 : 1,270.64 = 610.25 : x
  2. Step 2: Convert to fraction form
    920.75/1,270.64 = 610.25/x
  3. Step 3: Cross multiply
    920.75x = 1,270.64 × 610.25
  4. Step 4: Simplify right side
    920.75x = 775,405.01
  5. Step 5: Solve for x
    x = 775,405.01/920.75
  6. Step 6: Final answer
    x = 842.15

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Half scale
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Double scale
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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.