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Finding the Fourth Proportional to 998.76, 1,376.55 and 666.66

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Solution

The fourth proportional to 998.76, 1,376.55 and 666.66 is: 918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.76 : 1,376.55 = 666.66 : x
  2. Step 2: Convert to fraction form
    998.76/1,376.55 = 666.66/x
  3. Step 3: Cross multiply
    998.76x = 1,376.55 × 666.66
  4. Step 4: Simplify right side
    998.76x = 917,690.82
  5. Step 5: Solve for x
    x = 917,690.82/998.76
  6. Step 6: Final answer
    x = 918.83

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