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Finding the Fourth Proportional to 998.53, 1,377.98 and 556.40

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Solution

The fourth proportional to 998.53, 1,377.98 and 556.40 is: 767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.53 : 1,377.98 = 556.40 : x
  2. Step 2: Convert to fraction form
    998.53/1,377.98 = 556.40/x
  3. Step 3: Cross multiply
    998.53x = 1,377.98 × 556.40
  4. Step 4: Simplify right side
    998.53x = 766,710.82
  5. Step 5: Solve for x
    x = 766,710.82/998.53
  6. Step 6: Final answer
    x = 767.84

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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.