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Finding the Fourth Proportional to 1,076.79, 1,615.34 and 491.94

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Solution

The fourth proportional to 1,076.79, 1,615.34 and 491.94 is: 737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.79 : 1,615.34 = 491.94 : x
  2. Step 2: Convert to fraction form
    1,076.79/1,615.34 = 491.94/x
  3. Step 3: Cross multiply
    1,076.79x = 1,615.34 × 491.94
  4. Step 4: Simplify right side
    1,076.79x = 794,651.59
  5. Step 5: Solve for x
    x = 794,651.59/1,076.79
  6. Step 6: Final answer
    x = 737.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.