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Finding the Fourth Proportional to 1,109.92, 1,530.96 and 760.96

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Solution

The fourth proportional to 1,109.92, 1,530.96 and 760.96 is: 1,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.92 : 1,530.96 = 760.96 : x
  2. Step 2: Convert to fraction form
    1,109.92/1,530.96 = 760.96/x
  3. Step 3: Cross multiply
    1,109.92x = 1,530.96 × 760.96
  4. Step 4: Simplify right side
    1,109.92x = 1,164,999.32
  5. Step 5: Solve for x
    x = 1,164,999.32/1,109.92
  6. Step 6: Final answer
    x = 1,049.62

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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.