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Finding the Fourth Proportional to 734.23, 1,013.23 and 402.65

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Solution

The fourth proportional to 734.23, 1,013.23 and 402.65 is: 555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.23 : 1,013.23 = 402.65 : x
  2. Step 2: Convert to fraction form
    734.23/1,013.23 = 402.65/x
  3. Step 3: Cross multiply
    734.23x = 1,013.23 × 402.65
  4. Step 4: Simplify right side
    734.23x = 407,974.03
  5. Step 5: Solve for x
    x = 407,974.03/734.23
  6. Step 6: Final answer
    x = 555.65

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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.