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Finding the Fourth Proportional to 1,059.67, 1,461.81 and 798.04

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Solution

The fourth proportional to 1,059.67, 1,461.81 and 798.04 is: 1,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.67 : 1,461.81 = 798.04 : x
  2. Step 2: Convert to fraction form
    1,059.67/1,461.81 = 798.04/x
  3. Step 3: Cross multiply
    1,059.67x = 1,461.81 × 798.04
  4. Step 4: Simplify right side
    1,059.67x = 1,166,582.85
  5. Step 5: Solve for x
    x = 1,166,582.85/1,059.67
  6. Step 6: Final answer
    x = 1,100.89

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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.