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Finding the Fourth Proportional to 1,390.22, 2,083.49 and 730.75

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Solution

The fourth proportional to 1,390.22, 2,083.49 and 730.75 is: 1,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.22 : 2,083.49 = 730.75 : x
  2. Step 2: Convert to fraction form
    1,390.22/2,083.49 = 730.75/x
  3. Step 3: Cross multiply
    1,390.22x = 2,083.49 × 730.75
  4. Step 4: Simplify right side
    1,390.22x = 1,522,496.25
  5. Step 5: Solve for x
    x = 1,522,496.25/1,390.22
  6. Step 6: Final answer
    x = 1,095.15

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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.