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Finding the Fourth Proportional to 712.09, 1,068.25 and 273.32

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Solution

The fourth proportional to 712.09, 1,068.25 and 273.32 is: 410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.09 : 1,068.25 = 273.32 : x
  2. Step 2: Convert to fraction form
    712.09/1,068.25 = 273.32/x
  3. Step 3: Cross multiply
    712.09x = 1,068.25 × 273.32
  4. Step 4: Simplify right side
    712.09x = 291,972.72
  5. Step 5: Solve for x
    x = 291,972.72/712.09
  6. Step 6: Final answer
    x = 410.02

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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.