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Finding the Fourth Proportional to 1,410.36, 1,946.58 and 851.04

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Solution

The fourth proportional to 1,410.36, 1,946.58 and 851.04 is: 1,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.36 : 1,946.58 = 851.04 : x
  2. Step 2: Convert to fraction form
    1,410.36/1,946.58 = 851.04/x
  3. Step 3: Cross multiply
    1,410.36x = 1,946.58 × 851.04
  4. Step 4: Simplify right side
    1,410.36x = 1,656,617.44
  5. Step 5: Solve for x
    x = 1,656,617.44/1,410.36
  6. Step 6: Final answer
    x = 1,174.61

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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.