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Finding the Fourth Proportional to 1,109.27, 1,663.98 and 287.55

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Solution

The fourth proportional to 1,109.27, 1,663.98 and 287.55 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.27 : 1,663.98 = 287.55 : x
  2. Step 2: Convert to fraction form
    1,109.27/1,663.98 = 287.55/x
  3. Step 3: Cross multiply
    1,109.27x = 1,663.98 × 287.55
  4. Step 4: Simplify right side
    1,109.27x = 478,477.45
  5. Step 5: Solve for x
    x = 478,477.45/1,109.27
  6. Step 6: Final answer
    x = 431.34

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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.