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Finding the Fourth Proportional to 1,092.67, 1,639.01 and 899.89

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Solution

The fourth proportional to 1,092.67, 1,639.01 and 899.89 is: 1,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.67 : 1,639.01 = 899.89 : x
  2. Step 2: Convert to fraction form
    1,092.67/1,639.01 = 899.89/x
  3. Step 3: Cross multiply
    1,092.67x = 1,639.01 × 899.89
  4. Step 4: Simplify right side
    1,092.67x = 1,474,928.71
  5. Step 5: Solve for x
    x = 1,474,928.71/1,092.67
  6. Step 6: Final answer
    x = 1,349.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.