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Finding the Fourth Proportional to 1,213.34, 1,818.75 and 774.92

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Solution

The fourth proportional to 1,213.34, 1,818.75 and 774.92 is: 1,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.34 : 1,818.75 = 774.92 : x
  2. Step 2: Convert to fraction form
    1,213.34/1,818.75 = 774.92/x
  3. Step 3: Cross multiply
    1,213.34x = 1,818.75 × 774.92
  4. Step 4: Simplify right side
    1,213.34x = 1,409,385.75
  5. Step 5: Solve for x
    x = 1,409,385.75/1,213.34
  6. Step 6: Final answer
    x = 1,161.58

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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.