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Finding the Fourth Proportional to 734.85, 1,013.44 and 513.42

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Solution

The fourth proportional to 734.85, 1,013.44 and 513.42 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,013.44 = 513.42 : x
  2. Step 2: Convert to fraction form
    734.85/1,013.44 = 513.42/x
  3. Step 3: Cross multiply
    734.85x = 1,013.44 × 513.42
  4. Step 4: Simplify right side
    734.85x = 520,320.36
  5. Step 5: Solve for x
    x = 520,320.36/734.85
  6. Step 6: Final answer
    x = 708.06

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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.