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Finding the Fourth Proportional to 1,141.04, 1,711.66 and 491.78

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Solution

The fourth proportional to 1,141.04, 1,711.66 and 491.78 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.04 : 1,711.66 = 491.78 : x
  2. Step 2: Convert to fraction form
    1,141.04/1,711.66 = 491.78/x
  3. Step 3: Cross multiply
    1,141.04x = 1,711.66 × 491.78
  4. Step 4: Simplify right side
    1,141.04x = 841,760.15
  5. Step 5: Solve for x
    x = 841,760.15/1,141.04
  6. Step 6: Final answer
    x = 737.71

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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.