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Finding the Fourth Proportional to 1,326.73, 1,830.76 and 737.23

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Solution

The fourth proportional to 1,326.73, 1,830.76 and 737.23 is: 1,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.73 : 1,830.76 = 737.23 : x
  2. Step 2: Convert to fraction form
    1,326.73/1,830.76 = 737.23/x
  3. Step 3: Cross multiply
    1,326.73x = 1,830.76 × 737.23
  4. Step 4: Simplify right side
    1,326.73x = 1,349,691.19
  5. Step 5: Solve for x
    x = 1,349,691.19/1,326.73
  6. Step 6: Final answer
    x = 1,017.31

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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.