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Finding the Fourth Proportional to 1,141, 1,711.65 and 361.06

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Solution

The fourth proportional to 1,141, 1,711.65 and 361.06 is: 541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141 : 1,711.65 = 361.06 : x
  2. Step 2: Convert to fraction form
    1,141/1,711.65 = 361.06/x
  3. Step 3: Cross multiply
    1,141x = 1,711.65 × 361.06
  4. Step 4: Simplify right side
    1,141x = 618,008.35
  5. Step 5: Solve for x
    x = 618,008.35/1,141
  6. Step 6: Final answer
    x = 541.64

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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.