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Finding the Fourth Proportional to 832.63, 1,246.81 and 807.99

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Solution

The fourth proportional to 832.63, 1,246.81 and 807.99 is: 1,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.63 : 1,246.81 = 807.99 : x
  2. Step 2: Convert to fraction form
    832.63/1,246.81 = 807.99/x
  3. Step 3: Cross multiply
    832.63x = 1,246.81 × 807.99
  4. Step 4: Simplify right side
    832.63x = 1,007,405.97
  5. Step 5: Solve for x
    x = 1,007,405.97/832.63
  6. Step 6: Final answer
    x = 1,209.92

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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.