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Finding the Fourth Proportional to 869.99, 1,199.89 and 764.86

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Solution

The fourth proportional to 869.99, 1,199.89 and 764.86 is: 1,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.99 : 1,199.89 = 764.86 : x
  2. Step 2: Convert to fraction form
    869.99/1,199.89 = 764.86/x
  3. Step 3: Cross multiply
    869.99x = 1,199.89 × 764.86
  4. Step 4: Simplify right side
    869.99x = 917,741.87
  5. Step 5: Solve for x
    x = 917,741.87/869.99
  6. Step 6: Final answer
    x = 1,054.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.