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Finding the Fourth Proportional to 1,727.58, 2,590.61 and 494.71

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Solution

The fourth proportional to 1,727.58, 2,590.61 and 494.71 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.58 : 2,590.61 = 494.71 : x
  2. Step 2: Convert to fraction form
    1,727.58/2,590.61 = 494.71/x
  3. Step 3: Cross multiply
    1,727.58x = 2,590.61 × 494.71
  4. Step 4: Simplify right side
    1,727.58x = 1,281,599.44
  5. Step 5: Solve for x
    x = 1,281,599.44/1,727.58
  6. Step 6: Final answer
    x = 741.85

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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.