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Finding the Fourth Proportional to 734.63, 1,102.32 and 410.18

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Solution

The fourth proportional to 734.63, 1,102.32 and 410.18 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,102.32 = 410.18 : x
  2. Step 2: Convert to fraction form
    734.63/1,102.32 = 410.18/x
  3. Step 3: Cross multiply
    734.63x = 1,102.32 × 410.18
  4. Step 4: Simplify right side
    734.63x = 452,149.62
  5. Step 5: Solve for x
    x = 452,149.62/734.63
  6. Step 6: Final answer
    x = 615.48

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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.