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Finding the Fourth Proportional to 1,210.36, 1,815.75 and 662.62

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Solution

The fourth proportional to 1,210.36, 1,815.75 and 662.62 is: 994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.36 : 1,815.75 = 662.62 : x
  2. Step 2: Convert to fraction form
    1,210.36/1,815.75 = 662.62/x
  3. Step 3: Cross multiply
    1,210.36x = 1,815.75 × 662.62
  4. Step 4: Simplify right side
    1,210.36x = 1,203,152.27
  5. Step 5: Solve for x
    x = 1,203,152.27/1,210.36
  6. Step 6: Final answer
    x = 994.04

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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.