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Finding the Fourth Proportional to 734.12, 1,013.52 and 485.84

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Solution

The fourth proportional to 734.12, 1,013.52 and 485.84 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.12 : 1,013.52 = 485.84 : x
  2. Step 2: Convert to fraction form
    734.12/1,013.52 = 485.84/x
  3. Step 3: Cross multiply
    734.12x = 1,013.52 × 485.84
  4. Step 4: Simplify right side
    734.12x = 492,408.56
  5. Step 5: Solve for x
    x = 492,408.56/734.12
  6. Step 6: Final answer
    x = 670.75

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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.