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Finding the Fourth Proportional to 998.76, 1,378.08 and 600.48

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Solution

The fourth proportional to 998.76, 1,378.08 and 600.48 is: 828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,378.08 = 600.48 : x
  2. Step 2: Convert to fraction form
    998.76/1,378.08 = 600.48/x
  3. Step 3: Cross multiply
    998.76x = 1,378.08 × 600.48
  4. Step 4: Simplify right side
    998.76x = 827,509.48
  5. Step 5: Solve for x
    x = 827,509.48/998.76
  6. Step 6: Final answer
    x = 828.54

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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.