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Finding the Fourth Proportional to 1,192.03, 1,645.01 and 726.28

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Solution

The fourth proportional to 1,192.03, 1,645.01 and 726.28 is: 1,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.03 : 1,645.01 = 726.28 : x
  2. Step 2: Convert to fraction form
    1,192.03/1,645.01 = 726.28/x
  3. Step 3: Cross multiply
    1,192.03x = 1,645.01 × 726.28
  4. Step 4: Simplify right side
    1,192.03x = 1,194,736.29
  5. Step 5: Solve for x
    x = 1,194,736.29/1,192.03
  6. Step 6: Final answer
    x = 1,002.27

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1.5x scale

Why These Related Problems?

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