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Finding the Fourth Proportional to 1,159.58, 1,739.41 and 337.84

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Solution

The fourth proportional to 1,159.58, 1,739.41 and 337.84 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.58 : 1,739.41 = 337.84 : x
  2. Step 2: Convert to fraction form
    1,159.58/1,739.41 = 337.84/x
  3. Step 3: Cross multiply
    1,159.58x = 1,739.41 × 337.84
  4. Step 4: Simplify right side
    1,159.58x = 587,637.08
  5. Step 5: Solve for x
    x = 587,637.08/1,159.58
  6. Step 6: Final answer
    x = 506.77

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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.