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Finding the Fourth Proportional to 1,110.94, 1,532.94 and 662.76

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Solution

The fourth proportional to 1,110.94, 1,532.94 and 662.76 is: 914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.94 : 1,532.94 = 662.76 : x
  2. Step 2: Convert to fraction form
    1,110.94/1,532.94 = 662.76/x
  3. Step 3: Cross multiply
    1,110.94x = 1,532.94 × 662.76
  4. Step 4: Simplify right side
    1,110.94x = 1,015,971.31
  5. Step 5: Solve for x
    x = 1,015,971.31/1,110.94
  6. Step 6: Final answer
    x = 914.52

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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.