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Finding the Fourth Proportional to 1,141.10, 1,711.87 and 361.30

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Solution

The fourth proportional to 1,141.10, 1,711.87 and 361.30 is: 542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.10 : 1,711.87 = 361.30 : x
  2. Step 2: Convert to fraction form
    1,141.10/1,711.87 = 361.30/x
  3. Step 3: Cross multiply
    1,141.10x = 1,711.87 × 361.30
  4. Step 4: Simplify right side
    1,141.10x = 618,502.76
  5. Step 5: Solve for x
    x = 618,502.76/1,141.10
  6. Step 6: Final answer
    x = 542.02

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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.