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Finding the Fourth Proportional to 1,351.07, 1,864.47 and 730.07

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Solution

The fourth proportional to 1,351.07, 1,864.47 and 730.07 is: 1,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.07 : 1,864.47 = 730.07 : x
  2. Step 2: Convert to fraction form
    1,351.07/1,864.47 = 730.07/x
  3. Step 3: Cross multiply
    1,351.07x = 1,864.47 × 730.07
  4. Step 4: Simplify right side
    1,351.07x = 1,361,180.64
  5. Step 5: Solve for x
    x = 1,361,180.64/1,351.07
  6. Step 6: Final answer
    x = 1,007.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.