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Finding the Fourth Proportional to 1,109.15, 1,531.40 and 689.67

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Solution

The fourth proportional to 1,109.15, 1,531.40 and 689.67 is: 952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.15 : 1,531.40 = 689.67 : x
  2. Step 2: Convert to fraction form
    1,109.15/1,531.40 = 689.67/x
  3. Step 3: Cross multiply
    1,109.15x = 1,531.40 × 689.67
  4. Step 4: Simplify right side
    1,109.15x = 1,056,157.19
  5. Step 5: Solve for x
    x = 1,056,157.19/1,109.15
  6. Step 6: Final answer
    x = 952.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.