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Finding the Fourth Proportional to 734.89, 1,014.57 and 568.78

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Solution

The fourth proportional to 734.89, 1,014.57 and 568.78 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.89 : 1,014.57 = 568.78 : x
  2. Step 2: Convert to fraction form
    734.89/1,014.57 = 568.78/x
  3. Step 3: Cross multiply
    734.89x = 1,014.57 × 568.78
  4. Step 4: Simplify right side
    734.89x = 577,067.12
  5. Step 5: Solve for x
    x = 577,067.12/734.89
  6. Step 6: Final answer
    x = 785.24

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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.