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Finding the Fourth Proportional to 998.40, 1,495.68 and 564.24

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Solution

The fourth proportional to 998.40, 1,495.68 and 564.24 is: 845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.40 : 1,495.68 = 564.24 : x
  2. Step 2: Convert to fraction form
    998.40/1,495.68 = 564.24/x
  3. Step 3: Cross multiply
    998.40x = 1,495.68 × 564.24
  4. Step 4: Simplify right side
    998.40x = 843,922.48
  5. Step 5: Solve for x
    x = 843,922.48/998.40
  6. Step 6: Final answer
    x = 845.27

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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.