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Finding the Fourth Proportional to 1,112.07, 1,669.19 and 805.89

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Solution

The fourth proportional to 1,112.07, 1,669.19 and 805.89 is: 1,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.07 : 1,669.19 = 805.89 : x
  2. Step 2: Convert to fraction form
    1,112.07/1,669.19 = 805.89/x
  3. Step 3: Cross multiply
    1,112.07x = 1,669.19 × 805.89
  4. Step 4: Simplify right side
    1,112.07x = 1,345,179.50
  5. Step 5: Solve for x
    x = 1,345,179.50/1,112.07
  6. Step 6: Final answer
    x = 1,209.62

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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.