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Finding the Fourth Proportional to 1,326.31, 1,830.14 and 736.76

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Solution

The fourth proportional to 1,326.31, 1,830.14 and 736.76 is: 1,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.31 : 1,830.14 = 736.76 : x
  2. Step 2: Convert to fraction form
    1,326.31/1,830.14 = 736.76/x
  3. Step 3: Cross multiply
    1,326.31x = 1,830.14 × 736.76
  4. Step 4: Simplify right side
    1,326.31x = 1,348,373.95
  5. Step 5: Solve for x
    x = 1,348,373.95/1,326.31
  6. Step 6: Final answer
    x = 1,016.64

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