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Finding the Fourth Proportional to 1,140.34, 1,711.09 and 523.98

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Solution

The fourth proportional to 1,140.34, 1,711.09 and 523.98 is: 786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.34 : 1,711.09 = 523.98 : x
  2. Step 2: Convert to fraction form
    1,140.34/1,711.09 = 523.98/x
  3. Step 3: Cross multiply
    1,140.34x = 1,711.09 × 523.98
  4. Step 4: Simplify right side
    1,140.34x = 896,576.94
  5. Step 5: Solve for x
    x = 896,576.94/1,140.34
  6. Step 6: Final answer
    x = 786.24

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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.