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Finding the Fourth Proportional to 1,365.38, 2,048.44 and 391.58

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Solution

The fourth proportional to 1,365.38, 2,048.44 and 391.58 is: 587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.38 : 2,048.44 = 391.58 : x
  2. Step 2: Convert to fraction form
    1,365.38/2,048.44 = 391.58/x
  3. Step 3: Cross multiply
    1,365.38x = 2,048.44 × 391.58
  4. Step 4: Simplify right side
    1,365.38x = 802,128.14
  5. Step 5: Solve for x
    x = 802,128.14/1,365.38
  6. Step 6: Final answer
    x = 587.48

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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.