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Finding the Fourth Proportional to 998.16, 1,495.80 and 564.39

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Solution

The fourth proportional to 998.16, 1,495.80 and 564.39 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,495.80 = 564.39 : x
  2. Step 2: Convert to fraction form
    998.16/1,495.80 = 564.39/x
  3. Step 3: Cross multiply
    998.16x = 1,495.80 × 564.39
  4. Step 4: Simplify right side
    998.16x = 844,214.56
  5. Step 5: Solve for x
    x = 844,214.56/998.16
  6. Step 6: Final answer
    x = 845.77

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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.