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Finding the Fourth Proportional to 1,118.34, 1,675.62 and 684.59

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Solution

The fourth proportional to 1,118.34, 1,675.62 and 684.59 is: 1,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.34 : 1,675.62 = 684.59 : x
  2. Step 2: Convert to fraction form
    1,118.34/1,675.62 = 684.59/x
  3. Step 3: Cross multiply
    1,118.34x = 1,675.62 × 684.59
  4. Step 4: Simplify right side
    1,118.34x = 1,147,109.27
  5. Step 5: Solve for x
    x = 1,147,109.27/1,118.34
  6. Step 6: Final answer
    x = 1,025.72

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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.