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Finding the Fourth Proportional to 734.45, 1,012.79 and 513.32

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Solution

The fourth proportional to 734.45, 1,012.79 and 513.32 is: 707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.45 : 1,012.79 = 513.32 : x
  2. Step 2: Convert to fraction form
    734.45/1,012.79 = 513.32/x
  3. Step 3: Cross multiply
    734.45x = 1,012.79 × 513.32
  4. Step 4: Simplify right side
    734.45x = 519,882.80
  5. Step 5: Solve for x
    x = 519,882.80/734.45
  6. Step 6: Final answer
    x = 707.85

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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.