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Finding the Fourth Proportional to 734.63, 1,099.76 and 425.52

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Solution

The fourth proportional to 734.63, 1,099.76 and 425.52 is: 637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,099.76 = 425.52 : x
  2. Step 2: Convert to fraction form
    734.63/1,099.76 = 425.52/x
  3. Step 3: Cross multiply
    734.63x = 1,099.76 × 425.52
  4. Step 4: Simplify right side
    734.63x = 467,967.75
  5. Step 5: Solve for x
    x = 467,967.75/734.63
  6. Step 6: Final answer
    x = 637.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.