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Finding the Fourth Proportional to 1,042.65, 1,438.41 and 600.46

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Solution

The fourth proportional to 1,042.65, 1,438.41 and 600.46 is: 828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.65 : 1,438.41 = 600.46 : x
  2. Step 2: Convert to fraction form
    1,042.65/1,438.41 = 600.46/x
  3. Step 3: Cross multiply
    1,042.65x = 1,438.41 × 600.46
  4. Step 4: Simplify right side
    1,042.65x = 863,704.07
  5. Step 5: Solve for x
    x = 863,704.07/1,042.65
  6. Step 6: Final answer
    x = 828.37

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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.