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Finding the Fourth Proportional to 1,212.01, 1,672.05 and 763.61

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Solution

The fourth proportional to 1,212.01, 1,672.05 and 763.61 is: 1,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.01 : 1,672.05 = 763.61 : x
  2. Step 2: Convert to fraction form
    1,212.01/1,672.05 = 763.61/x
  3. Step 3: Cross multiply
    1,212.01x = 1,672.05 × 763.61
  4. Step 4: Simplify right side
    1,212.01x = 1,276,795.86
  5. Step 5: Solve for x
    x = 1,276,795.86/1,212.01
  6. Step 6: Final answer
    x = 1,053.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.