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Finding the Fourth Proportional to 1,590.27, 2,385.44 and 494.42

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Solution

The fourth proportional to 1,590.27, 2,385.44 and 494.42 is: 741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.27 : 2,385.44 = 494.42 : x
  2. Step 2: Convert to fraction form
    1,590.27/2,385.44 = 494.42/x
  3. Step 3: Cross multiply
    1,590.27x = 2,385.44 × 494.42
  4. Step 4: Simplify right side
    1,590.27x = 1,179,394.85
  5. Step 5: Solve for x
    x = 1,179,394.85/1,590.27
  6. Step 6: Final answer
    x = 741.63

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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.