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Finding the Fourth Proportional to 1,234.50, 1,704.59 and 763.08

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Solution

The fourth proportional to 1,234.50, 1,704.59 and 763.08 is: 1,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.50 : 1,704.59 = 763.08 : x
  2. Step 2: Convert to fraction form
    1,234.50/1,704.59 = 763.08/x
  3. Step 3: Cross multiply
    1,234.50x = 1,704.59 × 763.08
  4. Step 4: Simplify right side
    1,234.50x = 1,300,738.54
  5. Step 5: Solve for x
    x = 1,300,738.54/1,234.50
  6. Step 6: Final answer
    x = 1,053.66

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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.