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Finding the Fourth Proportional to 713.43, 1,068.30 and 573.96

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Solution

The fourth proportional to 713.43, 1,068.30 and 573.96 is: 859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.43 : 1,068.30 = 573.96 : x
  2. Step 2: Convert to fraction form
    713.43/1,068.30 = 573.96/x
  3. Step 3: Cross multiply
    713.43x = 1,068.30 × 573.96
  4. Step 4: Simplify right side
    713.43x = 613,161.47
  5. Step 5: Solve for x
    x = 613,161.47/713.43
  6. Step 6: Final answer
    x = 859.46

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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.