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Finding the Fourth Proportional to 1,105.98, 1,526.72 and 733.14

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Solution

The fourth proportional to 1,105.98, 1,526.72 and 733.14 is: 1,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.98 : 1,526.72 = 733.14 : x
  2. Step 2: Convert to fraction form
    1,105.98/1,526.72 = 733.14/x
  3. Step 3: Cross multiply
    1,105.98x = 1,526.72 × 733.14
  4. Step 4: Simplify right side
    1,105.98x = 1,119,299.50
  5. Step 5: Solve for x
    x = 1,119,299.50/1,105.98
  6. Step 6: Final answer
    x = 1,012.04

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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.