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Finding the Fourth Proportional to 873.06, 1,309.77 and 411.36

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Solution

The fourth proportional to 873.06, 1,309.77 and 411.36 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,309.77 = 411.36 : x
  2. Step 2: Convert to fraction form
    873.06/1,309.77 = 411.36/x
  3. Step 3: Cross multiply
    873.06x = 1,309.77 × 411.36
  4. Step 4: Simplify right side
    873.06x = 538,786.99
  5. Step 5: Solve for x
    x = 538,786.99/873.06
  6. Step 6: Final answer
    x = 617.12

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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.