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Finding the Fourth Proportional to 998.07, 1,497.74 and 420.95

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Solution

The fourth proportional to 998.07, 1,497.74 and 420.95 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.07 : 1,497.74 = 420.95 : x
  2. Step 2: Convert to fraction form
    998.07/1,497.74 = 420.95/x
  3. Step 3: Cross multiply
    998.07x = 1,497.74 × 420.95
  4. Step 4: Simplify right side
    998.07x = 630,464.06
  5. Step 5: Solve for x
    x = 630,464.06/998.07
  6. Step 6: Final answer
    x = 631.68

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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.