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Finding the Fourth Proportional to 596.07, 890.03 and 512.91

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Solution

The fourth proportional to 596.07, 890.03 and 512.91 is: 765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.07 : 890.03 = 512.91 : x
  2. Step 2: Convert to fraction form
    596.07/890.03 = 512.91/x
  3. Step 3: Cross multiply
    596.07x = 890.03 × 512.91
  4. Step 4: Simplify right side
    596.07x = 456,506.57
  5. Step 5: Solve for x
    x = 456,506.57/596.07
  6. Step 6: Final answer
    x = 765.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.