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Finding the Fourth Proportional to 1,118.19, 1,677.29 and 684.44

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Solution

The fourth proportional to 1,118.19, 1,677.29 and 684.44 is: 1,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.19 : 1,677.29 = 684.44 : x
  2. Step 2: Convert to fraction form
    1,118.19/1,677.29 = 684.44/x
  3. Step 3: Cross multiply
    1,118.19x = 1,677.29 × 684.44
  4. Step 4: Simplify right side
    1,118.19x = 1,148,004.37
  5. Step 5: Solve for x
    x = 1,148,004.37/1,118.19
  6. Step 6: Final answer
    x = 1,026.66

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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.