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Finding the Fourth Proportional to 873.36, 1,309.62 and 462.96

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Solution

The fourth proportional to 873.36, 1,309.62 and 462.96 is: 694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,309.62 = 462.96 : x
  2. Step 2: Convert to fraction form
    873.36/1,309.62 = 462.96/x
  3. Step 3: Cross multiply
    873.36x = 1,309.62 × 462.96
  4. Step 4: Simplify right side
    873.36x = 606,301.68
  5. Step 5: Solve for x
    x = 606,301.68/873.36
  6. Step 6: Final answer
    x = 694.22

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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.