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Finding the Fourth Proportional to 1,290.43, 1,780.77 and 730.89

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Solution

The fourth proportional to 1,290.43, 1,780.77 and 730.89 is: 1,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.43 : 1,780.77 = 730.89 : x
  2. Step 2: Convert to fraction form
    1,290.43/1,780.77 = 730.89/x
  3. Step 3: Cross multiply
    1,290.43x = 1,780.77 × 730.89
  4. Step 4: Simplify right side
    1,290.43x = 1,301,546.99
  5. Step 5: Solve for x
    x = 1,301,546.99/1,290.43
  6. Step 6: Final answer
    x = 1,008.61

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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.