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Finding the Fourth Proportional to 1,159.83, 1,739.79 and 543.54

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Solution

The fourth proportional to 1,159.83, 1,739.79 and 543.54 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.83 : 1,739.79 = 543.54 : x
  2. Step 2: Convert to fraction form
    1,159.83/1,739.79 = 543.54/x
  3. Step 3: Cross multiply
    1,159.83x = 1,739.79 × 543.54
  4. Step 4: Simplify right side
    1,159.83x = 945,645.46
  5. Step 5: Solve for x
    x = 945,645.46/1,159.83
  6. Step 6: Final answer
    x = 815.33

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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.