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Finding the Fourth Proportional to 591.98, 889.25 and 500.86

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Solution

The fourth proportional to 591.98, 889.25 and 500.86 is: 752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 889.25 = 500.86 : x
  2. Step 2: Convert to fraction form
    591.98/889.25 = 500.86/x
  3. Step 3: Cross multiply
    591.98x = 889.25 × 500.86
  4. Step 4: Simplify right side
    591.98x = 445,389.76
  5. Step 5: Solve for x
    x = 445,389.76/591.98
  6. Step 6: Final answer
    x = 752.37

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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.