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Finding the Fourth Proportional to 1,789.85, 2,684.78 and 491.32

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Solution

The fourth proportional to 1,789.85, 2,684.78 and 491.32 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.85 : 2,684.78 = 491.32 : x
  2. Step 2: Convert to fraction form
    1,789.85/2,684.78 = 491.32/x
  3. Step 3: Cross multiply
    1,789.85x = 2,684.78 × 491.32
  4. Step 4: Simplify right side
    1,789.85x = 1,319,086.11
  5. Step 5: Solve for x
    x = 1,319,086.11/1,789.85
  6. Step 6: Final answer
    x = 736.98

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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.