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Finding the Fourth Proportional to 1,159.54, 1,739.37 and 293.86

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Solution

The fourth proportional to 1,159.54, 1,739.37 and 293.86 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.54 : 1,739.37 = 293.86 : x
  2. Step 2: Convert to fraction form
    1,159.54/1,739.37 = 293.86/x
  3. Step 3: Cross multiply
    1,159.54x = 1,739.37 × 293.86
  4. Step 4: Simplify right side
    1,159.54x = 511,131.27
  5. Step 5: Solve for x
    x = 511,131.27/1,159.54
  6. Step 6: Final answer
    x = 440.81

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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.