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Finding the Fourth Proportional to 1,109.75, 1,531.64 and 1,060.54

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Solution

The fourth proportional to 1,109.75, 1,531.64 and 1,060.54 is: 1,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.75 : 1,531.64 = 1,060.54 : x
  2. Step 2: Convert to fraction form
    1,109.75/1,531.64 = 1,060.54/x
  3. Step 3: Cross multiply
    1,109.75x = 1,531.64 × 1,060.54
  4. Step 4: Simplify right side
    1,109.75x = 1,624,356.35
  5. Step 5: Solve for x
    x = 1,624,356.35/1,109.75
  6. Step 6: Final answer
    x = 1,463.72

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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.