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Finding the Fourth Proportional to 1,326.32, 1,830.26 and 736.85

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Solution

The fourth proportional to 1,326.32, 1,830.26 and 736.85 is: 1,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.32 : 1,830.26 = 736.85 : x
  2. Step 2: Convert to fraction form
    1,326.32/1,830.26 = 736.85/x
  3. Step 3: Cross multiply
    1,326.32x = 1,830.26 × 736.85
  4. Step 4: Simplify right side
    1,326.32x = 1,348,627.08
  5. Step 5: Solve for x
    x = 1,348,627.08/1,326.32
  6. Step 6: Final answer
    x = 1,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.