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Finding the Fourth Proportional to 1,365.54, 2,048.38 and 391.79

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Solution

The fourth proportional to 1,365.54, 2,048.38 and 391.79 is: 587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.54 : 2,048.38 = 391.79 : x
  2. Step 2: Convert to fraction form
    1,365.54/2,048.38 = 391.79/x
  3. Step 3: Cross multiply
    1,365.54x = 2,048.38 × 391.79
  4. Step 4: Simplify right side
    1,365.54x = 802,534.80
  5. Step 5: Solve for x
    x = 802,534.80/1,365.54
  6. Step 6: Final answer
    x = 587.71

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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.