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Finding the Fourth Proportional to 1,042.24, 1,438.28 and 600.19

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Solution

The fourth proportional to 1,042.24, 1,438.28 and 600.19 is: 828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,438.28 = 600.19 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,438.28 = 600.19/x
  3. Step 3: Cross multiply
    1,042.24x = 1,438.28 × 600.19
  4. Step 4: Simplify right side
    1,042.24x = 863,241.27
  5. Step 5: Solve for x
    x = 863,241.27/1,042.24
  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.