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Finding the Fourth Proportional to 1,212.91, 1,818.98 and 391

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Solution

The fourth proportional to 1,212.91, 1,818.98 and 391 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.91 : 1,818.98 = 391 : x
  2. Step 2: Convert to fraction form
    1,212.91/1,818.98 = 391/x
  3. Step 3: Cross multiply
    1,212.91x = 1,818.98 × 391
  4. Step 4: Simplify right side
    1,212.91x = 711,221.18
  5. Step 5: Solve for x
    x = 711,221.18/1,212.91
  6. Step 6: Final answer
    x = 586.38

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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.