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Finding the Fourth Proportional to 1,019.93, 1,407.26 and 600.29

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Solution

The fourth proportional to 1,019.93, 1,407.26 and 600.29 is: 828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.93 : 1,407.26 = 600.29 : x
  2. Step 2: Convert to fraction form
    1,019.93/1,407.26 = 600.29/x
  3. Step 3: Cross multiply
    1,019.93x = 1,407.26 × 600.29
  4. Step 4: Simplify right side
    1,019.93x = 844,764.62
  5. Step 5: Solve for x
    x = 844,764.62/1,019.93
  6. Step 6: Final answer
    x = 828.26

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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.