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Finding the Fourth Proportional to 1,109.10, 1,663.52 and 287.31

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Solution

The fourth proportional to 1,109.10, 1,663.52 and 287.31 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.10 : 1,663.52 = 287.31 : x
  2. Step 2: Convert to fraction form
    1,109.10/1,663.52 = 287.31/x
  3. Step 3: Cross multiply
    1,109.10x = 1,663.52 × 287.31
  4. Step 4: Simplify right side
    1,109.10x = 477,945.93
  5. Step 5: Solve for x
    x = 477,945.93/1,109.10
  6. Step 6: Final answer
    x = 430.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.