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Finding the Fourth Proportional to 998.28, 1,497.40 and 511.68

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Solution

The fourth proportional to 998.28, 1,497.40 and 511.68 is: 767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.28 : 1,497.40 = 511.68 : x
  2. Step 2: Convert to fraction form
    998.28/1,497.40 = 511.68/x
  3. Step 3: Cross multiply
    998.28x = 1,497.40 × 511.68
  4. Step 4: Simplify right side
    998.28x = 766,189.63
  5. Step 5: Solve for x
    x = 766,189.63/998.28
  6. Step 6: Final answer
    x = 767.51

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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.