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Finding the Fourth Proportional to 1,141.23, 1,711.36 and 491.50

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Solution

The fourth proportional to 1,141.23, 1,711.36 and 491.50 is: 737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.23 : 1,711.36 = 491.50 : x
  2. Step 2: Convert to fraction form
    1,141.23/1,711.36 = 491.50/x
  3. Step 3: Cross multiply
    1,141.23x = 1,711.36 × 491.50
  4. Step 4: Simplify right side
    1,141.23x = 841,133.44
  5. Step 5: Solve for x
    x = 841,133.44/1,141.23
  6. Step 6: Final answer
    x = 737.04

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Why These Related Problems?

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