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Finding the Fourth Proportional to 998.74, 1,496.22 and 566.20

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Solution

The fourth proportional to 998.74, 1,496.22 and 566.20 is: 848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.74 : 1,496.22 = 566.20 : x
  2. Step 2: Convert to fraction form
    998.74/1,496.22 = 566.20/x
  3. Step 3: Cross multiply
    998.74x = 1,496.22 × 566.20
  4. Step 4: Simplify right side
    998.74x = 847,159.76
  5. Step 5: Solve for x
    x = 847,159.76/998.74
  6. Step 6: Final answer
    x = 848.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.