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Finding the Fourth Proportional to 1,365.23, 2,048.02 and 391.41

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Solution

The fourth proportional to 1,365.23, 2,048.02 and 391.41 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.23 : 2,048.02 = 391.41 : x
  2. Step 2: Convert to fraction form
    1,365.23/2,048.02 = 391.41/x
  3. Step 3: Cross multiply
    1,365.23x = 2,048.02 × 391.41
  4. Step 4: Simplify right side
    1,365.23x = 801,615.51
  5. Step 5: Solve for x
    x = 801,615.51/1,365.23
  6. Step 6: Final answer
    x = 587.17

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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.