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Finding the Fourth Proportional to 1,126.22, 1,689.85 and 1,078.08

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Solution

The fourth proportional to 1,126.22, 1,689.85 and 1,078.08 is: 1,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.22 : 1,689.85 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    1,126.22/1,689.85 = 1,078.08/x
  3. Step 3: Cross multiply
    1,126.22x = 1,689.85 × 1,078.08
  4. Step 4: Simplify right side
    1,126.22x = 1,821,788.50
  5. Step 5: Solve for x
    x = 1,821,788.50/1,126.22
  6. Step 6: Final answer
    x = 1,617.62

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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.