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Finding the Fourth Proportional to 1,351.02, 1,864.41 and 730.02

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Solution

The fourth proportional to 1,351.02, 1,864.41 and 730.02 is: 1,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.02 : 1,864.41 = 730.02 : x
  2. Step 2: Convert to fraction form
    1,351.02/1,864.41 = 730.02/x
  3. Step 3: Cross multiply
    1,351.02x = 1,864.41 × 730.02
  4. Step 4: Simplify right side
    1,351.02x = 1,361,063.07
  5. Step 5: Solve for x
    x = 1,361,063.07/1,351.02
  6. Step 6: Final answer
    x = 1,007.43

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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.