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Finding the Fourth Proportional to 1,109.56, 1,530.66 and 667.30

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Solution

The fourth proportional to 1,109.56, 1,530.66 and 667.30 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.56 : 1,530.66 = 667.30 : x
  2. Step 2: Convert to fraction form
    1,109.56/1,530.66 = 667.30/x
  3. Step 3: Cross multiply
    1,109.56x = 1,530.66 × 667.30
  4. Step 4: Simplify right side
    1,109.56x = 1,021,409.42
  5. Step 5: Solve for x
    x = 1,021,409.42/1,109.56
  6. Step 6: Final answer
    x = 920.55

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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.