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Finding the Fourth Proportional to 734.18, 1,013.14 and 402.64

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Solution

The fourth proportional to 734.18, 1,013.14 and 402.64 is: 555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.18 : 1,013.14 = 402.64 : x
  2. Step 2: Convert to fraction form
    734.18/1,013.14 = 402.64/x
  3. Step 3: Cross multiply
    734.18x = 1,013.14 × 402.64
  4. Step 4: Simplify right side
    734.18x = 407,930.69
  5. Step 5: Solve for x
    x = 407,930.69/734.18
  6. Step 6: Final answer
    x = 555.63

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Why These Related Problems?

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