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Finding the Fourth Proportional to 1,143.85, 1,715.66 and 363.82

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Solution

The fourth proportional to 1,143.85, 1,715.66 and 363.82 is: 545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.85 : 1,715.66 = 363.82 : x
  2. Step 2: Convert to fraction form
    1,143.85/1,715.66 = 363.82/x
  3. Step 3: Cross multiply
    1,143.85x = 1,715.66 × 363.82
  4. Step 4: Simplify right side
    1,143.85x = 624,184.05
  5. Step 5: Solve for x
    x = 624,184.05/1,143.85
  6. Step 6: Final answer
    x = 545.69

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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.