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Finding the Fourth Proportional to 734.08, 1,100.82 and 459.76

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Solution

The fourth proportional to 734.08, 1,100.82 and 459.76 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.08 : 1,100.82 = 459.76 : x
  2. Step 2: Convert to fraction form
    734.08/1,100.82 = 459.76/x
  3. Step 3: Cross multiply
    734.08x = 1,100.82 × 459.76
  4. Step 4: Simplify right side
    734.08x = 506,113.00
  5. Step 5: Solve for x
    x = 506,113.00/734.08
  6. Step 6: Final answer
    x = 689.45

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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.