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Finding the Fourth Proportional to 1,206.16, 1,809.45 and 426.61

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Solution

The fourth proportional to 1,206.16, 1,809.45 and 426.61 is: 639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.16 : 1,809.45 = 426.61 : x
  2. Step 2: Convert to fraction form
    1,206.16/1,809.45 = 426.61/x
  3. Step 3: Cross multiply
    1,206.16x = 1,809.45 × 426.61
  4. Step 4: Simplify right side
    1,206.16x = 771,930.53
  5. Step 5: Solve for x
    x = 771,930.53/1,206.16
  6. Step 6: Final answer
    x = 639.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.