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Finding the Fourth Proportional to 1,227.19, 1,693.40 and 729.76

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Solution

The fourth proportional to 1,227.19, 1,693.40 and 729.76 is: 1,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.19 : 1,693.40 = 729.76 : x
  2. Step 2: Convert to fraction form
    1,227.19/1,693.40 = 729.76/x
  3. Step 3: Cross multiply
    1,227.19x = 1,693.40 × 729.76
  4. Step 4: Simplify right side
    1,227.19x = 1,235,775.58
  5. Step 5: Solve for x
    x = 1,235,775.58/1,227.19
  6. Step 6: Final answer
    x = 1,007.00

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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.