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Finding the Fourth Proportional to 869.34, 1,303.07 and 406.83

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Solution

The fourth proportional to 869.34, 1,303.07 and 406.83 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.34 : 1,303.07 = 406.83 : x
  2. Step 2: Convert to fraction form
    869.34/1,303.07 = 406.83/x
  3. Step 3: Cross multiply
    869.34x = 1,303.07 × 406.83
  4. Step 4: Simplify right side
    869.34x = 530,125.93
  5. Step 5: Solve for x
    x = 530,125.93/869.34
  6. Step 6: Final answer
    x = 609.80

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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.