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Finding the Fourth Proportional to 734.24, 1,012.83 and 568.19

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Solution

The fourth proportional to 734.24, 1,012.83 and 568.19 is: 783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.24 : 1,012.83 = 568.19 : x
  2. Step 2: Convert to fraction form
    734.24/1,012.83 = 568.19/x
  3. Step 3: Cross multiply
    734.24x = 1,012.83 × 568.19
  4. Step 4: Simplify right side
    734.24x = 575,479.88
  5. Step 5: Solve for x
    x = 575,479.88/734.24
  6. Step 6: Final answer
    x = 783.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.