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Finding the Fourth Proportional to 734.06, 1,013.01 and 423.50

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Solution

The fourth proportional to 734.06, 1,013.01 and 423.50 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,013.01 = 423.50 : x
  2. Step 2: Convert to fraction form
    734.06/1,013.01 = 423.50/x
  3. Step 3: Cross multiply
    734.06x = 1,013.01 × 423.50
  4. Step 4: Simplify right side
    734.06x = 429,009.74
  5. Step 5: Solve for x
    x = 429,009.74/734.06
  6. Step 6: Final answer
    x = 584.43

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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.