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Finding the Fourth Proportional to 1,105.06, 1,524.47 and 662.19

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Solution

The fourth proportional to 1,105.06, 1,524.47 and 662.19 is: 913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.06 : 1,524.47 = 662.19 : x
  2. Step 2: Convert to fraction form
    1,105.06/1,524.47 = 662.19/x
  3. Step 3: Cross multiply
    1,105.06x = 1,524.47 × 662.19
  4. Step 4: Simplify right side
    1,105.06x = 1,009,492.06
  5. Step 5: Solve for x
    x = 1,009,492.06/1,105.06
  6. Step 6: Final answer
    x = 913.52

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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.