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Finding the Fourth Proportional to 869.06, 1,303.70 and 406.77

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Solution

The fourth proportional to 869.06, 1,303.70 and 406.77 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.06 : 1,303.70 = 406.77 : x
  2. Step 2: Convert to fraction form
    869.06/1,303.70 = 406.77/x
  3. Step 3: Cross multiply
    869.06x = 1,303.70 × 406.77
  4. Step 4: Simplify right side
    869.06x = 530,306.05
  5. Step 5: Solve for x
    x = 530,306.05/869.06
  6. Step 6: Final answer
    x = 610.21

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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.