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Finding the Fourth Proportional to 734.13, 1,010.48 and 679.46

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Solution

The fourth proportional to 734.13, 1,010.48 and 679.46 is: 935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,010.48 = 679.46 : x
  2. Step 2: Convert to fraction form
    734.13/1,010.48 = 679.46/x
  3. Step 3: Cross multiply
    734.13x = 1,010.48 × 679.46
  4. Step 4: Simplify right side
    734.13x = 686,572.29
  5. Step 5: Solve for x
    x = 686,572.29/734.13
  6. Step 6: Final answer
    x = 935.22

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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.