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Finding the Fourth Proportional to 1,253.47, 1,729.80 and 694.05

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Solution

The fourth proportional to 1,253.47, 1,729.80 and 694.05 is: 957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.47 : 1,729.80 = 694.05 : x
  2. Step 2: Convert to fraction form
    1,253.47/1,729.80 = 694.05/x
  3. Step 3: Cross multiply
    1,253.47x = 1,729.80 × 694.05
  4. Step 4: Simplify right side
    1,253.47x = 1,200,567.69
  5. Step 5: Solve for x
    x = 1,200,567.69/1,253.47
  6. Step 6: Final answer
    x = 957.80

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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.