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Finding the Fourth Proportional to 803.91, 1,203.81 and 712.34

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Solution

The fourth proportional to 803.91, 1,203.81 and 712.34 is: 1,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.91 : 1,203.81 = 712.34 : x
  2. Step 2: Convert to fraction form
    803.91/1,203.81 = 712.34/x
  3. Step 3: Cross multiply
    803.91x = 1,203.81 × 712.34
  4. Step 4: Simplify right side
    803.91x = 857,516.00
  5. Step 5: Solve for x
    x = 857,516.00/803.91
  6. Step 6: Final answer
    x = 1,066.68

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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.