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Finding the Fourth Proportional to 734.95, 1,102.61 and 410.55

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Solution

The fourth proportional to 734.95, 1,102.61 and 410.55 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.95 : 1,102.61 = 410.55 : x
  2. Step 2: Convert to fraction form
    734.95/1,102.61 = 410.55/x
  3. Step 3: Cross multiply
    734.95x = 1,102.61 × 410.55
  4. Step 4: Simplify right side
    734.95x = 452,676.54
  5. Step 5: Solve for x
    x = 452,676.54/734.95
  6. Step 6: Final answer
    x = 615.93

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