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Finding the Fourth Proportional to 1,048.13, 1,571.28 and 398.41

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Solution

The fourth proportional to 1,048.13, 1,571.28 and 398.41 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.13 : 1,571.28 = 398.41 : x
  2. Step 2: Convert to fraction form
    1,048.13/1,571.28 = 398.41/x
  3. Step 3: Cross multiply
    1,048.13x = 1,571.28 × 398.41
  4. Step 4: Simplify right side
    1,048.13x = 626,013.66
  5. Step 5: Solve for x
    x = 626,013.66/1,048.13
  6. Step 6: Final answer
    x = 597.27

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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.