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Finding the Fourth Proportional to 734.80, 1,014.49 and 514.28

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Solution

The fourth proportional to 734.80, 1,014.49 and 514.28 is: 710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.80 : 1,014.49 = 514.28 : x
  2. Step 2: Convert to fraction form
    734.80/1,014.49 = 514.28/x
  3. Step 3: Cross multiply
    734.80x = 1,014.49 × 514.28
  4. Step 4: Simplify right side
    734.80x = 521,731.92
  5. Step 5: Solve for x
    x = 521,731.92/734.80
  6. Step 6: Final answer
    x = 710.03

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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.