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Finding the Fourth Proportional to 998.32, 1,377.72 and 556.33

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Solution

The fourth proportional to 998.32, 1,377.72 and 556.33 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.32 : 1,377.72 = 556.33 : x
  2. Step 2: Convert to fraction form
    998.32/1,377.72 = 556.33/x
  3. Step 3: Cross multiply
    998.32x = 1,377.72 × 556.33
  4. Step 4: Simplify right side
    998.32x = 766,457.30
  5. Step 5: Solve for x
    x = 766,457.30/998.32
  6. Step 6: Final answer
    x = 767.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.