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Finding the Fourth Proportional to 713.02, 1,067.73 and 566.05

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Solution

The fourth proportional to 713.02, 1,067.73 and 566.05 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.02 : 1,067.73 = 566.05 : x
  2. Step 2: Convert to fraction form
    713.02/1,067.73 = 566.05/x
  3. Step 3: Cross multiply
    713.02x = 1,067.73 × 566.05
  4. Step 4: Simplify right side
    713.02x = 604,388.57
  5. Step 5: Solve for x
    x = 604,388.57/713.02
  6. Step 6: Final answer
    x = 847.65

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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.