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Finding the Fourth Proportional to 596.83, 890.48 and 509.17

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Solution

The fourth proportional to 596.83, 890.48 and 509.17 is: 759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.83 : 890.48 = 509.17 : x
  2. Step 2: Convert to fraction form
    596.83/890.48 = 509.17/x
  3. Step 3: Cross multiply
    596.83x = 890.48 × 509.17
  4. Step 4: Simplify right side
    596.83x = 453,405.70
  5. Step 5: Solve for x
    x = 453,405.70/596.83
  6. Step 6: Final answer
    x = 759.69

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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.