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Finding the Fourth Proportional to 1,109.63, 1,526.76 and 909.73

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Solution

The fourth proportional to 1,109.63, 1,526.76 and 909.73 is: 1,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.63 : 1,526.76 = 909.73 : x
  2. Step 2: Convert to fraction form
    1,109.63/1,526.76 = 909.73/x
  3. Step 3: Cross multiply
    1,109.63x = 1,526.76 × 909.73
  4. Step 4: Simplify right side
    1,109.63x = 1,388,939.37
  5. Step 5: Solve for x
    x = 1,388,939.37/1,109.63
  6. Step 6: Final answer
    x = 1,251.71

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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.