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Finding the Fourth Proportional to 1,623.06, 2,434.80 and 800.70

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Solution

The fourth proportional to 1,623.06, 2,434.80 and 800.70 is: 1,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.06 : 2,434.80 = 800.70 : x
  2. Step 2: Convert to fraction form
    1,623.06/2,434.80 = 800.70/x
  3. Step 3: Cross multiply
    1,623.06x = 2,434.80 × 800.70
  4. Step 4: Simplify right side
    1,623.06x = 1,949,544.36
  5. Step 5: Solve for x
    x = 1,949,544.36/1,623.06
  6. Step 6: Final answer
    x = 1,201.15

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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.