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Finding the Fourth Proportional to 1,326.35, 1,830.42 and 736.88

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Solution

The fourth proportional to 1,326.35, 1,830.42 and 736.88 is: 1,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.35 : 1,830.42 = 736.88 : x
  2. Step 2: Convert to fraction form
    1,326.35/1,830.42 = 736.88/x
  3. Step 3: Cross multiply
    1,326.35x = 1,830.42 × 736.88
  4. Step 4: Simplify right side
    1,326.35x = 1,348,790.74
  5. Step 5: Solve for x
    x = 1,348,790.74/1,326.35
  6. Step 6: Final answer
    x = 1,016.92

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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.