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Finding the Fourth Proportional to 734.76, 1,102.14 and 410.22

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Solution

The fourth proportional to 734.76, 1,102.14 and 410.22 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,102.14 = 410.22 : x
  2. Step 2: Convert to fraction form
    734.76/1,102.14 = 410.22/x
  3. Step 3: Cross multiply
    734.76x = 1,102.14 × 410.22
  4. Step 4: Simplify right side
    734.76x = 452,119.87
  5. Step 5: Solve for x
    x = 452,119.87/734.76
  6. Step 6: Final answer
    x = 615.33

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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.