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Finding the Fourth Proportional to 1,207.76, 1,811.82 and 342.05

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Solution

The fourth proportional to 1,207.76, 1,811.82 and 342.05 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.76 : 1,811.82 = 342.05 : x
  2. Step 2: Convert to fraction form
    1,207.76/1,811.82 = 342.05/x
  3. Step 3: Cross multiply
    1,207.76x = 1,811.82 × 342.05
  4. Step 4: Simplify right side
    1,207.76x = 619,733.03
  5. Step 5: Solve for x
    x = 619,733.03/1,207.76
  6. Step 6: Final answer
    x = 513.13

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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.