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Finding the Fourth Proportional to 1,187.90, 1,639.40 and 892.65

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Solution

The fourth proportional to 1,187.90, 1,639.40 and 892.65 is: 1,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.90 : 1,639.40 = 892.65 : x
  2. Step 2: Convert to fraction form
    1,187.90/1,639.40 = 892.65/x
  3. Step 3: Cross multiply
    1,187.90x = 1,639.40 × 892.65
  4. Step 4: Simplify right side
    1,187.90x = 1,463,405.95
  5. Step 5: Solve for x
    x = 1,463,405.95/1,187.90
  6. Step 6: Final answer
    x = 1,231.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.