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Finding the Fourth Proportional to 734.58, 1,013.67 and 431.85

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Solution

The fourth proportional to 734.58, 1,013.67 and 431.85 is: 595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.58 : 1,013.67 = 431.85 : x
  2. Step 2: Convert to fraction form
    734.58/1,013.67 = 431.85/x
  3. Step 3: Cross multiply
    734.58x = 1,013.67 × 431.85
  4. Step 4: Simplify right side
    734.58x = 437,753.39
  5. Step 5: Solve for x
    x = 437,753.39/734.58
  6. Step 6: Final answer
    x = 595.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.