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Finding the Fourth Proportional to 869.63, 1,303.36 and 406.81

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Solution

The fourth proportional to 869.63, 1,303.36 and 406.81 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 1,303.36 = 406.81 : x
  2. Step 2: Convert to fraction form
    869.63/1,303.36 = 406.81/x
  3. Step 3: Cross multiply
    869.63x = 1,303.36 × 406.81
  4. Step 4: Simplify right side
    869.63x = 530,219.88
  5. Step 5: Solve for x
    x = 530,219.88/869.63
  6. Step 6: Final answer
    x = 609.71

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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.