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Finding the Fourth Proportional to 1,042.02, 1,438.02 and 599.94

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Solution

The fourth proportional to 1,042.02, 1,438.02 and 599.94 is: 827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,438.02 = 599.94 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,438.02 = 599.94/x
  3. Step 3: Cross multiply
    1,042.02x = 1,438.02 × 599.94
  4. Step 4: Simplify right side
    1,042.02x = 862,725.72
  5. Step 5: Solve for x
    x = 862,725.72/1,042.02
  6. Step 6: Final answer
    x = 827.94

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