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Finding the Fourth Proportional to 1,109.30, 1,530.63 and 689.31

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Solution

The fourth proportional to 1,109.30, 1,530.63 and 689.31 is: 951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.30 : 1,530.63 = 689.31 : x
  2. Step 2: Convert to fraction form
    1,109.30/1,530.63 = 689.31/x
  3. Step 3: Cross multiply
    1,109.30x = 1,530.63 × 689.31
  4. Step 4: Simplify right side
    1,109.30x = 1,055,078.57
  5. Step 5: Solve for x
    x = 1,055,078.57/1,109.30
  6. Step 6: Final answer
    x = 951.13

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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.