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Finding the Fourth Proportional to 1,042.01, 1,438.01 and 599.91

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Solution

The fourth proportional to 1,042.01, 1,438.01 and 599.91 is: 827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.01 : 1,438.01 = 599.91 : x
  2. Step 2: Convert to fraction form
    1,042.01/1,438.01 = 599.91/x
  3. Step 3: Cross multiply
    1,042.01x = 1,438.01 × 599.91
  4. Step 4: Simplify right side
    1,042.01x = 862,673.58
  5. Step 5: Solve for x
    x = 862,673.58/1,042.01
  6. Step 6: Final answer
    x = 827.90

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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.