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Finding the Fourth Proportional to 1,289.55, 1,778.93 and 869.37

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Solution

The fourth proportional to 1,289.55, 1,778.93 and 869.37 is: 1,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.55 : 1,778.93 = 869.37 : x
  2. Step 2: Convert to fraction form
    1,289.55/1,778.93 = 869.37/x
  3. Step 3: Cross multiply
    1,289.55x = 1,778.93 × 869.37
  4. Step 4: Simplify right side
    1,289.55x = 1,546,535.13
  5. Step 5: Solve for x
    x = 1,546,535.13/1,289.55
  6. Step 6: Final answer
    x = 1,199.29

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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.