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Finding the Fourth Proportional to 896.96, 1,345.44 and 512.32

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Solution

The fourth proportional to 896.96, 1,345.44 and 512.32 is: 768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.96 : 1,345.44 = 512.32 : x
  2. Step 2: Convert to fraction form
    896.96/1,345.44 = 512.32/x
  3. Step 3: Cross multiply
    896.96x = 1,345.44 × 512.32
  4. Step 4: Simplify right side
    896.96x = 689,295.82
  5. Step 5: Solve for x
    x = 689,295.82/896.96
  6. Step 6: Final answer
    x = 768.48

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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.