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Finding the Fourth Proportional to 998.89, 1,378.46 and 556.77

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Solution

The fourth proportional to 998.89, 1,378.46 and 556.77 is: 768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.89 : 1,378.46 = 556.77 : x
  2. Step 2: Convert to fraction form
    998.89/1,378.46 = 556.77/x
  3. Step 3: Cross multiply
    998.89x = 1,378.46 × 556.77
  4. Step 4: Simplify right side
    998.89x = 767,485.17
  5. Step 5: Solve for x
    x = 767,485.17/998.89
  6. Step 6: Final answer
    x = 768.34

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Double scale
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1.5x scale

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.