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Finding the Fourth Proportional to 734.10, 1,013.02 and 402.54

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Solution

The fourth proportional to 734.10, 1,013.02 and 402.54 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,013.02 = 402.54 : x
  2. Step 2: Convert to fraction form
    734.10/1,013.02 = 402.54/x
  3. Step 3: Cross multiply
    734.10x = 1,013.02 × 402.54
  4. Step 4: Simplify right side
    734.10x = 407,781.07
  5. Step 5: Solve for x
    x = 407,781.07/734.10
  6. Step 6: Final answer
    x = 555.48

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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.