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Finding the Fourth Proportional to 1,351.35, 1,864.86 and 730.35

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Solution

The fourth proportional to 1,351.35, 1,864.86 and 730.35 is: 1,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.35 : 1,864.86 = 730.35 : x
  2. Step 2: Convert to fraction form
    1,351.35/1,864.86 = 730.35/x
  3. Step 3: Cross multiply
    1,351.35x = 1,864.86 × 730.35
  4. Step 4: Simplify right side
    1,351.35x = 1,361,987.52
  5. Step 5: Solve for x
    x = 1,361,987.52/1,351.35
  6. Step 6: Final answer
    x = 1,007.88

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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.