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Finding the Fourth Proportional to 734.67, 1,012.10 and 513.27

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Solution

The fourth proportional to 734.67, 1,012.10 and 513.27 is: 707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.67 : 1,012.10 = 513.27 : x
  2. Step 2: Convert to fraction form
    734.67/1,012.10 = 513.27/x
  3. Step 3: Cross multiply
    734.67x = 1,012.10 × 513.27
  4. Step 4: Simplify right side
    734.67x = 519,478.00
  5. Step 5: Solve for x
    x = 519,478.00/734.67
  6. Step 6: Final answer
    x = 707.09

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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.