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Finding the Fourth Proportional to 735.84, 1,014.39 and 514.10

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Solution

The fourth proportional to 735.84, 1,014.39 and 514.10 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,014.39 = 514.10 : x
  2. Step 2: Convert to fraction form
    735.84/1,014.39 = 514.10/x
  3. Step 3: Cross multiply
    735.84x = 1,014.39 × 514.10
  4. Step 4: Simplify right side
    735.84x = 521,500.43
  5. Step 5: Solve for x
    x = 521,500.43/735.84
  6. Step 6: Final answer
    x = 708.71

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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.