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Finding the Fourth Proportional to 1,109.29, 1,530.18 and 694.57

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Solution

The fourth proportional to 1,109.29, 1,530.18 and 694.57 is: 958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.29 : 1,530.18 = 694.57 : x
  2. Step 2: Convert to fraction form
    1,109.29/1,530.18 = 694.57/x
  3. Step 3: Cross multiply
    1,109.29x = 1,530.18 × 694.57
  4. Step 4: Simplify right side
    1,109.29x = 1,062,817.12
  5. Step 5: Solve for x
    x = 1,062,817.12/1,109.29
  6. Step 6: Final answer
    x = 958.11

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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.