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Finding the Fourth Proportional to 734.56, 1,013.70 and 469.33

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Solution

The fourth proportional to 734.56, 1,013.70 and 469.33 is: 647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,013.70 = 469.33 : x
  2. Step 2: Convert to fraction form
    734.56/1,013.70 = 469.33/x
  3. Step 3: Cross multiply
    734.56x = 1,013.70 × 469.33
  4. Step 4: Simplify right side
    734.56x = 475,759.82
  5. Step 5: Solve for x
    x = 475,759.82/734.56
  6. Step 6: Final answer
    x = 647.68

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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.