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Finding the Fourth Proportional to 1,109.31, 1,530.03 and 969.15

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Solution

The fourth proportional to 1,109.31, 1,530.03 and 969.15 is: 1,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,530.03 = 969.15 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,530.03 = 969.15/x
  3. Step 3: Cross multiply
    1,109.31x = 1,530.03 × 969.15
  4. Step 4: Simplify right side
    1,109.31x = 1,482,828.57
  5. Step 5: Solve for x
    x = 1,482,828.57/1,109.31
  6. Step 6: Final answer
    x = 1,336.71

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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.