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Finding the Fourth Proportional to 1,234.20, 1,852.08 and 772.89

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Solution

The fourth proportional to 1,234.20, 1,852.08 and 772.89 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.20 : 1,852.08 = 772.89 : x
  2. Step 2: Convert to fraction form
    1,234.20/1,852.08 = 772.89/x
  3. Step 3: Cross multiply
    1,234.20x = 1,852.08 × 772.89
  4. Step 4: Simplify right side
    1,234.20x = 1,431,448.62
  5. Step 5: Solve for x
    x = 1,431,448.62/1,234.20
  6. Step 6: Final answer
    x = 1,159.82

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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.