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Finding the Fourth Proportional to 1,089.86, 1,636.98 and 651.98

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Solution

The fourth proportional to 1,089.86, 1,636.98 and 651.98 is: 979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,636.98 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,636.98 = 651.98/x
  3. Step 3: Cross multiply
    1,089.86x = 1,636.98 × 651.98
  4. Step 4: Simplify right side
    1,089.86x = 1,067,278.22
  5. Step 5: Solve for x
    x = 1,067,278.22/1,089.86
  6. Step 6: Final answer
    x = 979.28

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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.