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Finding the Fourth Proportional to 596.87, 899.25 and 514.86

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Solution

The fourth proportional to 596.87, 899.25 and 514.86 is: 775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 899.25 = 514.86 : x
  2. Step 2: Convert to fraction form
    596.87/899.25 = 514.86/x
  3. Step 3: Cross multiply
    596.87x = 899.25 × 514.86
  4. Step 4: Simplify right side
    596.87x = 462,985.45
  5. Step 5: Solve for x
    x = 462,985.45/596.87
  6. Step 6: Final answer
    x = 775.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.