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Finding the Fourth Proportional to 1,011.10, 1,516.39 and 361.74

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Solution

The fourth proportional to 1,011.10, 1,516.39 and 361.74 is: 542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.10 : 1,516.39 = 361.74 : x
  2. Step 2: Convert to fraction form
    1,011.10/1,516.39 = 361.74/x
  3. Step 3: Cross multiply
    1,011.10x = 1,516.39 × 361.74
  4. Step 4: Simplify right side
    1,011.10x = 548,538.92
  5. Step 5: Solve for x
    x = 548,538.92/1,011.10
  6. Step 6: Final answer
    x = 542.52

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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.