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Finding the Fourth Proportional to 1,110.12, 1,665.18 and 452.07

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Solution

The fourth proportional to 1,110.12, 1,665.18 and 452.07 is: 678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.12 : 1,665.18 = 452.07 : x
  2. Step 2: Convert to fraction form
    1,110.12/1,665.18 = 452.07/x
  3. Step 3: Cross multiply
    1,110.12x = 1,665.18 × 452.07
  4. Step 4: Simplify right side
    1,110.12x = 752,777.92
  5. Step 5: Solve for x
    x = 752,777.92/1,110.12
  6. Step 6: Final answer
    x = 678.11

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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.