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Finding the Fourth Proportional to 734.05, 1,012.94 and 402.41

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Solution

The fourth proportional to 734.05, 1,012.94 and 402.41 is: 555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,012.94 = 402.41 : x
  2. Step 2: Convert to fraction form
    734.05/1,012.94 = 402.41/x
  3. Step 3: Cross multiply
    734.05x = 1,012.94 × 402.41
  4. Step 4: Simplify right side
    734.05x = 407,617.19
  5. Step 5: Solve for x
    x = 407,617.19/734.05
  6. Step 6: Final answer
    x = 555.30

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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.