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Finding the Fourth Proportional to 734.32, 1,102.50 and 459.61

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Solution

The fourth proportional to 734.32, 1,102.50 and 459.61 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,102.50 = 459.61 : x
  2. Step 2: Convert to fraction form
    734.32/1,102.50 = 459.61/x
  3. Step 3: Cross multiply
    734.32x = 1,102.50 × 459.61
  4. Step 4: Simplify right side
    734.32x = 506,720.03
  5. Step 5: Solve for x
    x = 506,720.03/734.32
  6. Step 6: Final answer
    x = 690.05

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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.