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Finding the Fourth Proportional to 998.08, 1,497.66 and 711.88

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Solution

The fourth proportional to 998.08, 1,497.66 and 711.88 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.08 : 1,497.66 = 711.88 : x
  2. Step 2: Convert to fraction form
    998.08/1,497.66 = 711.88/x
  3. Step 3: Cross multiply
    998.08x = 1,497.66 × 711.88
  4. Step 4: Simplify right side
    998.08x = 1,066,154.20
  5. Step 5: Solve for x
    x = 1,066,154.20/998.08
  6. Step 6: Final answer
    x = 1,068.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.