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Finding the Fourth Proportional to 1,207.36, 1,808.34 and 556.12

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Solution

The fourth proportional to 1,207.36, 1,808.34 and 556.12 is: 832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.36 : 1,808.34 = 556.12 : x
  2. Step 2: Convert to fraction form
    1,207.36/1,808.34 = 556.12/x
  3. Step 3: Cross multiply
    1,207.36x = 1,808.34 × 556.12
  4. Step 4: Simplify right side
    1,207.36x = 1,005,654.04
  5. Step 5: Solve for x
    x = 1,005,654.04/1,207.36
  6. Step 6: Final answer
    x = 832.94

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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.