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Finding the Fourth Proportional to 1,007, 1,512.82 and 596.42

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Solution

The fourth proportional to 1,007, 1,512.82 and 596.42 is: 896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007 : 1,512.82 = 596.42 : x
  2. Step 2: Convert to fraction form
    1,007/1,512.82 = 596.42/x
  3. Step 3: Cross multiply
    1,007x = 1,512.82 × 596.42
  4. Step 4: Simplify right side
    1,007x = 902,276.10
  5. Step 5: Solve for x
    x = 902,276.10/1,007
  6. Step 6: Final answer
    x = 896.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.