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Finding the Fourth Proportional to 998.64, 1,496.61 and 510.66

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Solution

The fourth proportional to 998.64, 1,496.61 and 510.66 is: 765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,496.61 = 510.66 : x
  2. Step 2: Convert to fraction form
    998.64/1,496.61 = 510.66/x
  3. Step 3: Cross multiply
    998.64x = 1,496.61 × 510.66
  4. Step 4: Simplify right side
    998.64x = 764,258.86
  5. Step 5: Solve for x
    x = 764,258.86/998.64
  6. Step 6: Final answer
    x = 765.30

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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.