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Finding the Fourth Proportional to 960.71, 1,441.60 and 412.85

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Solution

The fourth proportional to 960.71, 1,441.60 and 412.85 is: 619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.71 : 1,441.60 = 412.85 : x
  2. Step 2: Convert to fraction form
    960.71/1,441.60 = 412.85/x
  3. Step 3: Cross multiply
    960.71x = 1,441.60 × 412.85
  4. Step 4: Simplify right side
    960.71x = 595,156.32
  5. Step 5: Solve for x
    x = 595,156.32/960.71
  6. Step 6: Final answer
    x = 619.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.