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Finding the Fourth Proportional to 1,207.38, 1,811.04 and 385.71

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Solution

The fourth proportional to 1,207.38, 1,811.04 and 385.71 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.38 : 1,811.04 = 385.71 : x
  2. Step 2: Convert to fraction form
    1,207.38/1,811.04 = 385.71/x
  3. Step 3: Cross multiply
    1,207.38x = 1,811.04 × 385.71
  4. Step 4: Simplify right side
    1,207.38x = 698,536.24
  5. Step 5: Solve for x
    x = 698,536.24/1,207.38
  6. Step 6: Final answer
    x = 578.56

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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.